72879624 has 24 divisors (see below), whose sum is σ = 197382510. Its totient is φ = 24293184.

The previous prime is 72879619. The next prime is 72879637. The reversal of 72879624 is 42697827.

It can be written as a sum of positive squares in only one way, i.e., 60559524 + 12320100 = 7782^2 + 3510^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×72879624² = 10622879188762752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72879624.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506037 + ... + 506180.

Almost surely, 2^72879624 is an apocalyptic number.

It is an amenable number.

72879624 is an abundant number, since it is smaller than the sum of its proper divisors (124502886).

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

72879624 is a wasteful number, since it uses less digits than its factorization.

72879624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012229 (or 1012222 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72879624 is about 8536.9563662936. The cubic root of 72879624 is about 417.7040708165.

The spelling of 72879624 in words is "seventy-two million, eight hundred seventy-nine thousand, six hundred twenty-four".