72508256 has 48 divisors (see below), whose sum is σ = 155151360. Its totient is φ = 33229440.

The previous prime is 72508201. The next prime is 72508273. The reversal of 72508256 is 65280527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16925 + ... + 20771.

It is an arithmetic number, because the mean of its divisors is an integer number (3232320).

Almost surely, 2^72508256 is an apocalyptic number.

72508256 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72508256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77575680).

72508256 is an abundant number, since it is smaller than the sum of its proper divisors (82643104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72508256 is a wasteful number, since it uses less digits than its factorization.

72508256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 72508256 is about 8515.1779781752. The cubic root of 72508256 is about 416.9933730619.

The spelling of 72508256 in words is "seventy-two million, five hundred eight thousand, two hundred fifty-six".