72905767 has 12 divisors (see below), whose sum is σ = 80371368. Its totient is φ = 66083600.

The previous prime is 72905759. The next prime is 72905771. The reversal of 72905767 is 76750927.

It is a happy number.

It is not a de Polignac number, because 72905767 - 2³ = 72905759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72905737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55128 + ... + 56434.

It is an arithmetic number, because the mean of its divisors is an integer number (6697614).

Almost surely, 2^72905767 is an apocalyptic number.

72905767 is a deficient number, since it is larger than the sum of its proper divisors (7465601).

72905767 is a wasteful number, since it uses less digits than its factorization.

72905767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 43.

The square root of 72905767 is about 8538.4873953177. The cubic root of 72905767 is about 417.7540103902.

The spelling of 72905767 in words is "seventy-two million, nine hundred five thousand, seven hundred sixty-seven".