72504224 has 24 divisors (see below), whose sum is σ = 153723780. Its totient is φ = 33463296.

The previous prime is 72504217. The next prime is 72504239. The reversal of 72504224 is 42240527.

It can be written as a sum of positive squares in 2 ways, for example, as 70896400 + 1607824 = 8420^2 + 1268^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 72504193 and 72504202.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86729 + ... + 87560.

Almost surely, 2^72504224 is an apocalyptic number.

It is an amenable number.

72504224 is an abundant number, since it is smaller than the sum of its proper divisors (81219556).

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

72504224 is a wasteful number, since it uses less digits than its factorization.

72504224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174312 (or 174304 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 72504224 is about 8514.9412211712. The cubic root of 72504224 is about 416.9856436044.

The spelling of 72504224 in words is "seventy-two million, five hundred four thousand, two hundred twenty-four".