72976884 has 48 divisors (see below), whose sum is σ = 182044800. Its totient is φ = 22696960.

The previous prime is 72976879. The next prime is 72976901. The reversal of 72976884 is 48867927.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8092 + ... + 14540.

It is an arithmetic number, because the mean of its divisors is an integer number (3792600).

Almost surely, 2^72976884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72976884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91022400).

72976884 is an abundant number, since it is smaller than the sum of its proper divisors (109067916).

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

72976884 is a wasteful number, since it uses less digits than its factorization.

72976884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520 (or 6518 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 72976884 is about 8542.6508766307. The cubic root of 72976884 is about 417.8898010061.

The spelling of 72976884 in words is "seventy-two million, nine hundred seventy-six thousand, eight hundred eighty-four".