72673672 has 32 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 34948800.

The previous prime is 72673649. The next prime is 72673687. The reversal of 72673672 is 27637627.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 44079 + ... + 45697.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^72673672 is an apocalyptic number.

It is an amenable number.

72673672 is a deficient number, since it is larger than the sum of its proper divisors (68849528).

72673672 is a wasteful number, since it uses less digits than its factorization.

72673672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1833 counting only the distinct ones).

The product of its digits is 148176, while the sum is 40.

The square root of 72673672 is about 8524.8854537759. The cubic root of 72673672 is about 417.3102334782.

The spelling of 72673672 in words is "seventy-two million, six hundred seventy-three thousand, six hundred seventy-two".