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24 is the number of digits of the fifth and largest known unitary perfect number, when written in decimal: 146361946186458562560000. [7] Subtracting 1 from any of its divisors (except 1 and 2 but including itself) yields a prime number; 24 is the largest number with this property.
It is the third Erdős–Woods number, following 22 and 16. It is the ninth Fibonacci number and a companion Pell number. Since it is an odd-indexed Fibonacci number, 34 is a Markov number. 34 is also the fourth heptagonal number, and the first non-trivial centered hendecagonal (11-gonal) number.
12 ( twelve) is the natural number following 11 and preceding 13. Twelve is a superior highly composite number, divisible by the numbers 2, 3, 4, and 6 . It is the number of years required for an orbital period of Jupiter.
Twenty is a pronic number, as it is the product of consecutive integers, namely 4 and 5. It is the third composite number to be the product of a squared prime and a prime (and also the second member of the 2 2 × q family in this form).
Since 51 is the product of the distinct Fermat primes 3 and 17, a regular polygon with 51 sides is constructible with compass and straightedge, the angle π. /. 51 is constructible, and the number cos π. /. 51 is expressible in terms of square roots.
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It is the number of four-digit perfect powers in decimal. It is the third (or second) dodecahedral number, and the sum of the first seven triangular numbers (1, 3, 6, 10, 15, 21, 28), which makes it the seventh tetrahedral number.
The number 40 is found in many traditions without any universal explanation for its use. In Jewish , Christian , Islamic , and other Middle Eastern traditions it is taken to represent a large, approximate number , similar to " umpteen ".
72 is the number of degrees in the central angle of a regular pentagon, which is constructible with a compass and straight-edge. 72 plays a role in the Rule of 72 in economics when approximating annual compounding of interest rates of a round 6% to 10%, due in part to its high number of divisors. Inside Lie algebras :
32 is the fifth power of two (), making it the first non-unitary fifth-power of the form where is prime. 32 is the totient summatory function over the first 10 integers, and the smallest number with exactly 7 solutions for ().
64 is: the smallest number with exactly seven divisors, the first whole number (greater than one) that is both a perfect square, and a perfect cube. the lowest positive power of two that is not adjacent to either a Mersenne prime or a Fermat prime.