72656144 has 30 divisors (see below), whose sum is σ = 154736190. Its totient is φ = 33024640.

The previous prime is 72656071. The next prime is 72656173. The reversal of 72656144 is 44165627.

It can be written as a sum of positive squares in only one way, i.e., 42406144 + 30250000 = 6512^2 + 5500^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16829 + ... + 20700.

It is an arithmetic number, because the mean of its divisors is an integer number (5157873).

Almost surely, 2^72656144 is an apocalyptic number.

It is an amenable number.

72656144 is an abundant number, since it is smaller than the sum of its proper divisors (82080046).

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

72656144 is a wasteful number, since it uses less digits than its factorization.

72656144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37559 (or 37542 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 72656144 is about 8523.8573427762. The cubic root of 72656144 is about 417.2766807407.

The spelling of 72656144 in words is "seventy-two million, six hundred fifty-six thousand, one hundred forty-four".