72481672 has 32 divisors (see below), whose sum is σ = 142718400. Its totient is φ = 34461504.

The previous prime is 72481667. The next prime is 72481709. The reversal of 72481672 is 27618427.

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, 13213 + ... + 17875.

It is an arithmetic number, because the mean of its divisors is an integer number (4459950).

Almost surely, 2^72481672 is an apocalyptic number.

It is an amenable number.

72481672 is a deficient number, since it is larger than the sum of its proper divisors (70236728).

72481672 is a wasteful number, since it uses less digits than its factorization.

72481672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4761 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 72481672 is about 8513.6168577168. The cubic root of 72481672 is about 416.9424055010.

It can be divided in two parts, 72481 and 672, that added together give a triangular number (73153 = T₃₈₂).

The spelling of 72481672 in words is "seventy-two million, four hundred eighty-one thousand, six hundred seventy-two".