72971339 has 12 divisors (see below), whose sum is σ = 85089600. Its totient is φ = 62396208.

The previous prime is 72971333. The next prime is 72971369. The reversal of 72971339 is 93317927.

It is not a de Polignac number, because 72971339 - 2⁸ = 72971083 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72971296 and 72971305.

It is not an unprimeable number, because it can be changed into a prime (72971333) 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 11 ways as a sum of consecutive naturals, for example, 21917 + ... + 25025.

It is an arithmetic number, because the mean of its divisors is an integer number (7090800).

Almost surely, 2^72971339 is an apocalyptic number.

72971339 is a deficient number, since it is larger than the sum of its proper divisors (12118261).

72971339 is a wasteful number, since it uses less digits than its factorization.

72971339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3595 counting only the distinct ones).

The product of its digits is 71442, while the sum is 41.

The square root of 72971339 is about 8542.3263224955. The cubic root of 72971339 is about 417.8792165694.

The spelling of 72971339 in words is "seventy-two million, nine hundred seventy-one thousand, three hundred thirty-nine".