72504882 has 42 divisors (see below), whose sum is σ = 163795887. Its totient is φ = 24059916.

The previous prime is 72504869. The next prime is 72504917. The reversal of 72504882 is 28840527.

It is a happy number.

72504882 is a `hidden beast` number, since 72 + 504 + 8 + 82 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36252441 + 36252441 = 6021^2 + 6021^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6021.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 325023 + ... + 325245.

Almost surely, 2^72504882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72504882

72504882 is an abundant number, since it is smaller than the sum of its proper divisors (91291005).

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

72504882 is an frugal number, since it uses more digits than its factorization.

72504882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72504882 is about 8514.9798590484. The cubic root of 72504882 is about 416.9869050285.

The spelling of 72504882 in words is "seventy-two million, five hundred four thousand, eight hundred eighty-two".