72653168 has 20 divisors (see below), whose sum is σ = 160875120. Its totient is φ = 31137024.

The previous prime is 72653167. The next prime is 72653171. The reversal of 72653168 is 86135627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72653167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 324233 + ... + 324456.

It is an arithmetic number, because the mean of its divisors is an integer number (8043756).

Almost surely, 2^72653168 is an apocalyptic number.

It is an amenable number.

72653168 is an abundant number, since it is smaller than the sum of its proper divisors (88221952).

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

72653168 is a wasteful number, since it uses less digits than its factorization.

72653168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648704 (or 648698 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 72653168 is about 8523.6827721355. The cubic root of 72653168 is about 417.2709834370.

The spelling of 72653168 in words is "seventy-two million, six hundred fifty-three thousand, one hundred sixty-eight".