72828744 has 32 divisors (see below), whose sum is σ = 188352000. Its totient is φ = 23438912.

The previous prime is 72828683. The next prime is 72828761. The reversal of 72828744 is 44782827.

It is a junction number, because it is equal to n+sod(n) for n = 72828696 and 72828705.

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, 51624 + ... + 53015.

It is an arithmetic number, because the mean of its divisors is an integer number (5886000).

Almost surely, 2^72828744 is an apocalyptic number.

It is an amenable number.

72828744 is an abundant number, since it is smaller than the sum of its proper divisors (115523256).

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

72828744 is a wasteful number, since it uses less digits than its factorization.

72828744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104677 (or 104673 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 72828744 is about 8533.9758612267. The cubic root of 72828744 is about 417.6068432254.

The spelling of 72828744 in words is "seventy-two million, eight hundred twenty-eight thousand, seven hundred forty-four".