72647768 has 32 divisors (see below), whose sum is σ = 139968000. Its totient is φ = 35337120.

The previous prime is 72647723. The next prime is 72647779. The reversal of 72647768 is 86774627.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44063 + ... + 45681.

It is an arithmetic number, because the mean of its divisors is an integer number (4374000).

Almost surely, 2^72647768 is an apocalyptic number.

It is an amenable number.

72647768 is a deficient number, since it is larger than the sum of its proper divisors (67320232).

72647768 is a wasteful number, since it uses less digits than its factorization.

72647768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1771 counting only the distinct ones).

The product of its digits is 790272, while the sum is 47.

The square root of 72647768 is about 8523.3660017624. The cubic root of 72647768 is about 417.2606451903.

The spelling of 72647768 in words is "seventy-two million, six hundred forty-seven thousand, seven hundred sixty-eight".