172732975632 has 300 divisors, whose sum is σ = 600329005056. Its totient is φ = 47759725440.

The previous prime is 172732975559. The next prime is 172732975651. The reversal of 172732975632 is 236579237271.

It is a happy number.

172732975632 is a `hidden beast` number, since 1 + 7 + 2 + 73 + 2 + 9 + 7 + 563 + 2 = 666.

172732975632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 59 ways as a sum of consecutive naturals, for example, 1924753 + ... + 2012495.

Almost surely, 2^172732975632 is an apocalyptic number.

172732975632 is a gapful number since it is divisible by the number (12) 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 172732975632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300164502528).

172732975632 is an abundant number, since it is smaller than the sum of its proper divisors (427596029424).

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

172732975632 is a wasteful number, since it uses less digits than its factorization.

172732975632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87808 (or 87786 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The spelling of 172732975632 in words is "one hundred seventy-two billion, seven hundred thirty-two million, nine hundred seventy-five thousand, six hundred thirty-two".