72556968 has 32 divisors (see below), whose sum is σ = 197883360. Its totient is φ = 21986880.

The previous prime is 72556951. The next prime is 72556987. The reversal of 72556968 is 86965527.

It is a happy 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, 137155 + ... + 137682.

It is an arithmetic number, because the mean of its divisors is an integer number (6183855).

Almost surely, 2^72556968 is an apocalyptic number.

It is an amenable number.

72556968 is an abundant number, since it is smaller than the sum of its proper divisors (125326392).

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

72556968 is a wasteful number, since it uses less digits than its factorization.

72556968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274857 (or 274853 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 72556968 is about 8518.0378022171. The cubic root of 72556968 is about 417.0867327023.

It can be divided in two parts, 72 and 556968, that added together give a triangular number (557040 = T₁₀₅₅).

The spelling of 72556968 in words is "seventy-two million, five hundred fifty-six thousand, nine hundred sixty-eight".