72164446125 has 16 divisors (see below), whose sum is σ = 120081638976. Its totient is φ = 38487704400.

The previous prime is 72164446111. The next prime is 72164446141. The reversal of 72164446125 is 52164446127.

It is not a de Polignac number, because 72164446125 - 2⁵ = 72164446093 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96218887 + ... + 96219636.

It is an arithmetic number, because the mean of its divisors is an integer number (7505102436).

Almost surely, 2^72164446125 is an apocalyptic number.

72164446125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72164446125 is a deficient number, since it is larger than the sum of its proper divisors (47917192851).

72164446125 is a wasteful number, since it uses less digits than its factorization.

72164446125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192438541 (or 192438531 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 72164446125 in words is "seventy-two billion, one hundred sixty-four million, four hundred forty-six thousand, one hundred twenty-five".