72648564 has 24 divisors (see below), whose sum is σ = 171420480. Its totient is φ = 23943744.

The previous prime is 72648557. The next prime is 72648581. The reversal of 72648564 is 46584627.

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, 32944 + ... + 35079.

It is an arithmetic number, because the mean of its divisors is an integer number (7142520).

Almost surely, 2^72648564 is an apocalyptic number.

It is an amenable number.

72648564 is an abundant number, since it is smaller than the sum of its proper divisors (98771916).

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

72648564 is a wasteful number, since it uses less digits than its factorization.

72648564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68119 (or 68117 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 72648564 is about 8523.4126968017. The cubic root of 72648564 is about 417.2621691566.

The spelling of 72648564 in words is "seventy-two million, six hundred forty-eight thousand, five hundred sixty-four".