72628656 has 40 divisors (see below), whose sum is σ = 191170800. Its totient is φ = 23751936.

The previous prime is 72628643. The next prime is 72628681. The reversal of 72628656 is 65682627.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11731 + ... + 16818.

It is an arithmetic number, because the mean of its divisors is an integer number (4779270).

Almost surely, 2^72628656 is an apocalyptic number.

It is an amenable number.

72628656 is an abundant number, since it is smaller than the sum of its proper divisors (118542144).

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

72628656 is a wasteful number, since it uses less digits than its factorization.

72628656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28613 (or 28607 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 72628656 is about 8522.2447747058. The cubic root of 72628656 is about 417.2240513389.

The spelling of 72628656 in words is "seventy-two million, six hundred twenty-eight thousand, six hundred fifty-six".