72456564 has 12 divisors (see below), whose sum is σ = 169065344. Its totient is φ = 24152184.

The previous prime is 72456539. The next prime is 72456569. The reversal of 72456564 is 46565427.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72456569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3019012 + ... + 3019035.

Almost surely, 2^72456564 is an apocalyptic number.

It is an amenable number.

72456564 is an abundant number, since it is smaller than the sum of its proper divisors (96608780).

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

72456564 is a wasteful number, since it uses less digits than its factorization.

72456564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6038054 (or 6038052 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 72456564 is about 8512.1421510687. The cubic root of 72456564 is about 416.8942563222.

The spelling of 72456564 in words is "seventy-two million, four hundred fifty-six thousand, five hundred sixty-four".