72966927 has 16 divisors (see below), whose sum is σ = 106276608. Its totient is φ = 44162880.

The previous prime is 72966911. The next prime is 72966937.

72966927 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72966927 - 2⁴ = 72966911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72966937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46518 + ... + 48060.

It is an arithmetic number, because the mean of its divisors is an integer number (6642288).

Almost surely, 2^72966927 is an apocalyptic number.

72966927 is a deficient number, since it is larger than the sum of its proper divisors (33309681).

72966927 is a wasteful number, since it uses less digits than its factorization.

72966927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990.

The product of its digits is 571536, while the sum is 48.

The square root of 72966927 is about 8542.0680751209. The cubic root of 72966927 is about 417.8707944487.

The spelling of 72966927 in words is "seventy-two million, nine hundred sixty-six thousand, nine hundred twenty-seven".