72728832 has 72 divisors (see below), whose sum is σ = 211186080. Its totient is φ = 22036480.

The previous prime is 72728819. The next prime is 72728911. The reversal of 72728832 is 23882727.

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, 4144 + ... + 12752.

It is an arithmetic number, because the mean of its divisors is an integer number (2933140).

Almost surely, 2^72728832 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 72728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105593040).

72728832 is an abundant number, since it is smaller than the sum of its proper divisors (138457248).

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

72728832 is a wasteful number, since it uses less digits than its factorization.

72728832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8639 (or 8625 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 72728832 is about 8528.1200742016. The cubic root of 72728832 is about 417.4157875735.

The spelling of 72728832 in words is "seventy-two million, seven hundred twenty-eight thousand, eight hundred thirty-two".