72686516 has 12 divisors (see below), whose sum is σ = 145373088. Its totient is φ = 31151352.

The previous prime is 72686513. The next prime is 72686573. The reversal of 72686516 is 61568627.

72686516 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72686513) 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 3 ways as a sum of consecutive naturals, for example, 1297946 + ... + 1298001.

It is an arithmetic number, because the mean of its divisors is an integer number (12114424).

Almost surely, 2^72686516 is an apocalyptic number.

It is an amenable number.

72686516 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72686516 is a wasteful number, since it uses less digits than its factorization.

72686516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595958 (or 2595956 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 72686516 is about 8525.6387443992. The cubic root of 72686516 is about 417.3348165070.

The spelling of 72686516 in words is "seventy-two million, six hundred eighty-six thousand, five hundred sixteen".