72973647 has 24 divisors (see below), whose sum is σ = 107936400. Its totient is φ = 47495808.

The previous prime is 72973627. The next prime is 72973669. The reversal of 72973647 is 74637927.

It is a happy number.

It is not a de Polignac number, because 72973647 - 2¹⁴ = 72957263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72973627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71104 + ... + 72122.

It is an arithmetic number, because the mean of its divisors is an integer number (4497350).

Almost surely, 2^72973647 is an apocalyptic number.

72973647 is a deficient number, since it is larger than the sum of its proper divisors (34962753).

72973647 is a wasteful number, since it uses less digits than its factorization.

72973647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1204 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 72973647 is about 8542.4614134335. The cubic root of 72973647 is about 417.8836222035.

The spelling of 72973647 in words is "seventy-two million, nine hundred seventy-three thousand, six hundred forty-seven".