72932967 has 20 divisors (see below), whose sum is σ = 109698600. Its totient is φ = 48287664.

The previous prime is 72932953. The next prime is 72932969. The reversal of 72932967 is 76923927.

It is a happy number.

It is not a de Polignac number, because 72932967 - 2⁸ = 72932711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72932969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9048 + ... + 15090.

It is an arithmetic number, because the mean of its divisors is an integer number (5484930).

Almost surely, 2^72932967 is an apocalyptic number.

72932967 is a deficient number, since it is larger than the sum of its proper divisors (36765633).

72932967 is a wasteful number, since it uses less digits than its factorization.

72932967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 6195 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 72932967 is about 8540.0800347538. The cubic root of 72932967 is about 417.8059564238.

It can be divided in two parts, 7293 and 2967, that multiplied together give a triangular number (21638331 = T₆₅₇₈).

The spelling of 72932967 in words is "seventy-two million, nine hundred thirty-two thousand, nine hundred sixty-seven".