72613024 has 48 divisors (see below), whose sum is σ = 162751680. Its totient is φ = 31567360.

The previous prime is 72613019. The next prime is 72613039. The reversal of 72613024 is 42031627.

It is a self number, because there is not a number n which added to its sum of digits gives 72613024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3612 + ... + 12580.

It is an arithmetic number, because the mean of its divisors is an integer number (3390660).

Almost surely, 2^72613024 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 72613024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81375840).

72613024 is an abundant number, since it is smaller than the sum of its proper divisors (90138656).

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

72613024 is a wasteful number, since it uses less digits than its factorization.

72613024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 72613024 is about 8521.3275960967. The cubic root of 72613024 is about 417.1941158896.

The spelling of 72613024 in words is "seventy-two million, six hundred thirteen thousand, twenty-four".