72511824 has 160 divisors (see below), whose sum is σ = 243984384. Its totient is φ = 17994240.

The previous prime is 72511807. The next prime is 72511841. The reversal of 72511824 is 42811527.

It is an interprime number because it is at equal distance from previous prime (72511807) and next prime (72511841).

It is a junction number, because it is equal to n+sod(n) for n = 72511791 and 72511800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84582 + ... + 85434.

Almost surely, 2^72511824 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 72511824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121992192).

72511824 is an abundant number, since it is smaller than the sum of its proper divisors (171472560).

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

72511824 is a wasteful number, since it uses less digits than its factorization.

72511824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 72511824 is about 8515.3874838436. The cubic root of 72511824 is about 417.0002127793. Note that the first 3 decimals are identical.

The spelling of 72511824 in words is "seventy-two million, five hundred eleven thousand, eight hundred twenty-four".