72536616 has 48 divisors (see below), whose sum is σ = 197002260. Its totient is φ = 24111360.

The previous prime is 72536609. The next prime is 72536677. The reversal of 72536616 is 61663527.

72536616 is a `hidden beast` number, since 7 + 2 + 5 + 36 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43956900 + 28579716 = 6630^2 + 5346^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29116 + ... + 31508.

Almost surely, 2^72536616 is an apocalyptic number.

It is an amenable number.

72536616 is an abundant number, since it is smaller than the sum of its proper divisors (124465644).

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

72536616 is a wasteful number, since it uses less digits than its factorization.

72536616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2819 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 72536616 is about 8516.8430771032. The cubic root of 72536616 is about 417.0477318859.

The spelling of 72536616 in words is "seventy-two million, five hundred thirty-six thousand, six hundred sixteen".