72220317082164 has 36 divisors (see below), whose sum is σ = 182567206673124. Its totient is φ = 24072081570432.

The previous prime is 72220317082159. The next prime is 72220317082169. The reversal of 72220317082164 is 46128071302227.

It is an interprime number because it is at equal distance from previous prime (72220317082159) and next prime (72220317082169).

It can be written as a sum of positive squares in 2 ways, for example, as 33739485444900 + 38480831637264 = 5808570^2 + 6203292^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72220317082169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55913307 + ... + 57190370.

Almost surely, 2^{72220317082164} is an apocalyptic number.

It is an amenable number.

72220317082164 is an abundant number, since it is smaller than the sum of its proper divisors (110346889590960).

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

72220317082164 is a wasteful number, since it uses less digits than its factorization.

72220317082164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113121424 (or 113121419 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 72220317082164 in words is "seventy-two trillion, two hundred twenty billion, three hundred seventeen million, eighty-two thousand, one hundred sixty-four".