72377564 has 12 divisors (see below), whose sum is σ = 144755184. Its totient is φ = 31018944.

The previous prime is 72377563. The next prime is 72377579. The reversal of 72377564 is 46577327.

72377564 is an admirable number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72377561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1292429 + ... + 1292484.

It is an arithmetic number, because the mean of its divisors is an integer number (12062932).

Almost surely, 2^72377564 is an apocalyptic number.

It is an amenable number.

72377564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72377564 is a wasteful number, since it uses less digits than its factorization.

72377564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584924 (or 2584922 counting only the distinct ones).

The product of its digits is 246960, while the sum is 41.

The square root of 72377564 is about 8507.5004554804. The cubic root of 72377564 is about 416.7426867872.

It can be divided in two parts, 723 and 77564, that added together give a palindrome (78287).

The spelling of 72377564 in words is "seventy-two million, three hundred seventy-seven thousand, five hundred sixty-four".