72719424 has 56 divisors (see below), whose sum is σ = 213786720. Its totient is φ = 24239232.

The previous prime is 72719419. The next prime is 72719431. The reversal of 72719424 is 42491727.

It is a super-2 number, since 2×72719424² = 10576229253783552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19314 + ... + 22769.

It is an arithmetic number, because the mean of its divisors is an integer number (3817620).

Almost surely, 2^72719424 is an apocalyptic number.

It is an amenable number.

72719424 is an abundant number, since it is smaller than the sum of its proper divisors (141067296).

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

72719424 is a wasteful number, since it uses less digits than its factorization.

72719424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42104 (or 42088 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72719424 is about 8527.5684693821. The cubic root of 72719424 is about 417.3977882145.

The spelling of 72719424 in words is "seventy-two million, seven hundred nineteen thousand, four hundred twenty-four".