172331736960 has 128 divisors (see below), whose sum is σ = 552678399360. Its totient is φ = 45673113600.

The previous prime is 172331736943. The next prime is 172331736979. The reversal of 172331736960 is 69637133271.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37635 + ... + 588285.

It is an arithmetic number, because the mean of its divisors is an integer number (4317799995).

Almost surely, 2^172331736960 is an apocalyptic number.

172331736960 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 172331736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276339199680).

172331736960 is an abundant number, since it is smaller than the sum of its proper divisors (380346662400).

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

172331736960 is a wasteful number, since it uses less digits than its factorization.

172331736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550836 (or 550824 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The spelling of 172331736960 in words is "one hundred seventy-two billion, three hundred thirty-one million, seven hundred thirty-six thousand, nine hundred sixty".