72856656 has 30 divisors (see below), whose sum is σ = 203897850. Its totient is φ = 24285504.

The previous prime is 72856643. The next prime is 72856657. The reversal of 72856656 is 65665827.

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 266256 = 8520^2 + 516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72856657) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252831 + ... + 253118.

It is an arithmetic number, because the mean of its divisors is an integer number (6796595).

Almost surely, 2^72856656 is an apocalyptic number.

It is an amenable number.

72856656 is an abundant number, since it is smaller than the sum of its proper divisors (131041194).

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

72856656 is a wasteful number, since it uses less digits than its factorization.

72856656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505963 (or 505954 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 72856656 is about 8535.6110501826. The cubic root of 72856656 is about 417.6601864193.

The spelling of 72856656 in words is "seventy-two million, eight hundred fifty-six thousand, six hundred fifty-six".