72123688 has 48 divisors (see below), whose sum is σ = 169423380. Its totient is φ = 28530432.

The previous prime is 72123659. The next prime is 72123697. The reversal of 72123688 is 88632127.

It can be written as a sum of positive squares in 2 ways, for example, as 67535524 + 4588164 = 8218^2 + 2142^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1981 + ... + 12172.

Almost surely, 2^72123688 is an apocalyptic number.

It is an amenable number.

72123688 is an abundant number, since it is smaller than the sum of its proper divisors (97299692).

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

72123688 is a wasteful number, since it uses less digits than its factorization.

72123688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14186 (or 14175 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 72123688 is about 8492.5666320612. The cubic root of 72123688 is about 416.2548518524.

The spelling of 72123688 in words is "seventy-two million, one hundred twenty-three thousand, six hundred eighty-eight".