72958977 has 24 divisors (see below), whose sum is σ = 129706304. Its totient is φ = 38483424.

The previous prime is 72958957. The next prime is 72958979. The reversal of 72958977 is 77985927.

It is not a de Polignac number, because 72958977 - 2¹⁴ = 72942593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72958979) 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, 43723 + ... + 45360.

Almost surely, 2^72958977 is an apocalyptic number.

It is an amenable number.

72958977 is a deficient number, since it is larger than the sum of its proper divisors (56747327).

72958977 is a wasteful number, since it uses less digits than its factorization.

72958977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89109 (or 89106 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 72958977 is about 8541.6027184598. The cubic root of 72958977 is about 417.8556177397.

The spelling of 72958977 in words is "seventy-two million, nine hundred fifty-eight thousand, nine hundred seventy-seven".