172115634432 has 216 divisors, whose sum is σ = 537077646336. Its totient is φ = 48787329024.

The previous prime is 172115634401. The next prime is 172115634451. The reversal of 172115634432 is 234436511271.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4761258 + ... + 4797270.

Almost surely, 2^172115634432 is an apocalyptic number.

172115634432 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 172115634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268538823168).

172115634432 is an abundant number, since it is smaller than the sum of its proper divisors (364962011904).

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

172115634432 is a wasteful number, since it uses less digits than its factorization.

172115634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36173 (or 36152 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The spelling of 172115634432 in words is "one hundred seventy-two billion, one hundred fifteen million, six hundred thirty-four thousand, four hundred thirty-two".