72386064 has 45 divisors (see below), whose sum is σ = 202866573. Its totient is φ = 24094656.

The previous prime is 72386053. The next prime is 72386081. The reversal of 72386064 is 46068327.

The square root of 72386064 is 8508.

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., 9659664 + 62726400 = 3108^2 + 7920^2 .

It is a super-2 number, since 2×72386064² = 10479484522824192, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101742 + ... + 102450.

Almost surely, 2^72386064 is an apocalyptic number.

72386064 is the 8508-th square number.

It is an amenable number.

72386064 is an abundant number, since it is smaller than the sum of its proper divisors (130480509).

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

72386064 is an equidigital number, since it uses as much as digits as its factorization.

72386064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 72386064 is about 416.7590001951.

Multiplying 72386064 by its sum of digits (36), we get a square (2605898304 = 51048²).

72386064 divided by its sum of digits (36) gives a square (2010724 = 1418²).

The spelling of 72386064 in words is "seventy-two million, three hundred eighty-six thousand, sixty-four".