72782564 has 12 divisors (see below), whose sum is σ = 127749804. Its totient is φ = 36282624.

The previous prime is 72782527. The next prime is 72782579. The reversal of 72782564 is 46528727.

It can be written as a sum of positive squares in 2 ways, for example, as 51696100 + 21086464 = 7190^2 + 4592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25649 + ... + 28344.

It is an arithmetic number, because the mean of its divisors is an integer number (10645817).

Almost surely, 2^72782564 is an apocalyptic number.

It is an amenable number.

72782564 is a deficient number, since it is larger than the sum of its proper divisors (54967240).

72782564 is a wasteful number, since it uses less digits than its factorization.

72782564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54334 (or 54332 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 72782564 is about 8531.2697765339. The cubic root of 72782564 is about 417.5185577466.

The spelling of 72782564 in words is "seventy-two million, seven hundred eighty-two thousand, five hundred sixty-four".