72679131 has 48 divisors (see below), whose sum is σ = 128793600. Its totient is φ = 38548224.

The previous prime is 72679127. The next prime is 72679141. The reversal of 72679131 is 13197627.

It is a happy number.

It is not a de Polignac number, because 72679131 - 2² = 72679127 is a prime.

It is a super-2 number, since 2×72679131² = 10564512165830322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72679111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84180 + ... + 85038.

It is an arithmetic number, because the mean of its divisors is an integer number (2683200).

Almost surely, 2^72679131 is an apocalyptic number.

72679131 is a deficient number, since it is larger than the sum of its proper divisors (56114469).

72679131 is a wasteful number, since it uses less digits than its factorization.

72679131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 965 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 72679131 is about 8525.2056280186. The cubic root of 72679131 is about 417.3206821935.

The spelling of 72679131 in words is "seventy-two million, six hundred seventy-nine thousand, one hundred thirty-one".