72913568 has 120 divisors (see below), whose sum is σ = 182815668. Its totient is φ = 28449792.

The previous prime is 72913553. The next prime is 72913571. The reversal of 72913568 is 86531927.

It can be written as a sum of positive squares in 2 ways, for example, as 71031184 + 1882384 = 8428^2 + 1372^2 .

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 998780 + ... + 998852.

Almost surely, 2^72913568 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 72913568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91407834).

72913568 is an abundant number, since it is smaller than the sum of its proper divisors (109902100).

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

72913568 is an equidigital number, since it uses as much as digits as its factorization.

72913568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 72913568 is about 8538.9441970305. The cubic root of 72913568 is about 417.7689099102.

The spelling of 72913568 in words is "seventy-two million, nine hundred thirteen thousand, five hundred sixty-eight".