72747564 has 24 divisors (see below), whose sum is σ = 169886640. Its totient is φ = 24228864.

The previous prime is 72747557. The next prime is 72747589. The reversal of 72747564 is 46574727.

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, 21372 + ... + 24540.

It is an arithmetic number, because the mean of its divisors is an integer number (7078610).

Almost surely, 2^72747564 is an apocalyptic number.

It is an amenable number.

72747564 is an abundant number, since it is smaller than the sum of its proper divisors (97139076).

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

72747564 is a wasteful number, since it uses less digits than its factorization.

72747564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5087 counting only the distinct ones).

The product of its digits is 329280, while the sum is 42.

The square root of 72747564 is about 8529.2182525716. The cubic root of 72747564 is about 417.4516209614.

The spelling of 72747564 in words is "seventy-two million, seven hundred forty-seven thousand, five hundred sixty-four".