72555672 has 96 divisors (see below), whose sum is σ = 213408000. Its totient is φ = 20494656.

The previous prime is 72555667. The next prime is 72555683. The reversal of 72555672 is 27655527.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72555672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120829 + ... + 121427.

It is an arithmetic number, because the mean of its divisors is an integer number (2223000).

Almost surely, 2^72555672 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 72555672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106704000).

72555672 is an abundant number, since it is smaller than the sum of its proper divisors (140852328).

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

72555672 is a wasteful number, since it uses less digits than its factorization.

72555672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its digits is 147000, while the sum is 39.

The square root of 72555672 is about 8517.9617280192. The cubic root of 72555672 is about 417.0842493772.

The spelling of 72555672 in words is "seventy-two million, five hundred fifty-five thousand, six hundred seventy-two".