72910656 has 252 divisors, whose sum is σ = 261042912. Its totient is φ = 19049472.

The previous prime is 72910633. The next prime is 72910661. The reversal of 72910656 is 65601927.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72910656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681355 + ... + 681461.

Almost surely, 2^72910656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130521456).

72910656 is an abundant number, since it is smaller than the sum of its proper divisors (188132256).

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

72910656 is a wasteful number, since it uses less digits than its factorization.

72910656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72910656 is about 8538.7736824441. The cubic root of 72910656 is about 417.7633482601.

The spelling of 72910656 in words is "seventy-two million, nine hundred ten thousand, six hundred fifty-six".