72999936 has 99 divisors (see below), whose sum is σ = 213180721. Its totient is φ = 24059904.

The previous prime is 72999923. The next prime is 72999943. The reversal of 72999936 is 63999927.

The square root of 72999936 is 8544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14017536 + 58982400 = 3744^2 + 7680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 820180 + ... + 820268.

Almost surely, 2^72999936 is an apocalyptic number.

72999936 is the 8544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72999936

72999936 is an abundant number, since it is smaller than the sum of its proper divisors (140180785).

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

72999936 is an equidigital number, since it uses as much as digits as its factorization.

72999936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 94 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 54.

The cubic root of 72999936 is about 417.9337975021.

Subtracting from 72999936 its reverse (63999927), we obtain a palindrome (9000009).

The spelling of 72999936 in words is "seventy-two million, nine hundred ninety-nine thousand, nine hundred thirty-six".