72724512 has 96 divisors (see below), whose sum is σ = 225275904. Its totient is φ = 20102400.

The previous prime is 72724507. The next prime is 72724549. The reversal of 72724512 is 21542727.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 72724512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19087 + ... + 22577.

It is an arithmetic number, because the mean of its divisors is an integer number (2346624).

Almost surely, 2^72724512 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 72724512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112637952).

72724512 is an abundant number, since it is smaller than the sum of its proper divisors (152551392).

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

72724512 is a wasteful number, since it uses less digits than its factorization.

72724512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3534 counting only the distinct ones).

The product of its digits is 7840, while the sum is 30.

The square root of 72724512 is about 8527.8667907045. The cubic root of 72724512 is about 417.4075227545.

The spelling of 72724512 in words is "seventy-two million, seven hundred twenty-four thousand, five hundred twelve".