172164073760 has 192 divisors, whose sum is σ = 489742848000. Its totient is φ = 55871327232.

The previous prime is 172164073721. The next prime is 172164073777. The reversal of 172164073760 is 67370461271.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29767829 + ... + 29773611.

It is an arithmetic number, because the mean of its divisors is an integer number (2550744000).

Almost surely, 2^172164073760 is an apocalyptic number.

172164073760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172164073760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244871424000).

172164073760 is an abundant number, since it is smaller than the sum of its proper divisors (317578774240).

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

172164073760 is a wasteful number, since it uses less digits than its factorization.

172164073760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223 (or 7215 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 172164073760 in words is "one hundred seventy-two billion, one hundred sixty-four million, seventy-three thousand, seven hundred sixty".