172972164096 has 110 divisors (see below), whose sum is σ = 516528946670. Its totient is φ = 57657360384.

The previous prime is 172972164083. The next prime is 172972164103. The reversal of 172972164096 is 690461279271.

172972164096 is a `hidden beast` number, since 17 + 2 + 9 + 7 + 216 + 409 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 169138077696 + 3834086400 = 411264^2 + 61920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 959761 + ... + 1125648.

It is an arithmetic number, because the mean of its divisors is an integer number (4695717697).

Almost surely, 2^172972164096 is an apocalyptic number.

172972164096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

172972164096 is an abundant number, since it is smaller than the sum of its proper divisors (343556782574).

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

172972164096 is an equidigital number, since it uses as much as digits as its factorization.

172972164096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085441 (or 2085414 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 172972164096 in words is "one hundred seventy-two billion, nine hundred seventy-two million, one hundred sixty-four thousand, ninety-six".