172372235328 has 280 divisors, whose sum is σ = 555218315520. Its totient is φ = 52676490240.

The previous prime is 172372235311. The next prime is 172372235341. The reversal of 172372235328 is 823532273271.

172372235328 is a `hidden beast` number, since 1 + 7 + 23 + 72 + 23 + 532 + 8 = 666.

It is a super-2 number, since 2×172372235328² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 3025150 + ... + 3081602.

Almost surely, 2^172372235328 is an apocalyptic number.

172372235328 is a gapful number since it is divisible by the number (18) 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 172372235328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277609157760).

172372235328 is an abundant number, since it is smaller than the sum of its proper divisors (382846080192).

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

172372235328 is a wasteful number, since it uses less digits than its factorization.

172372235328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56527 (or 56508 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 172372235328 in words is "one hundred seventy-two billion, three hundred seventy-two million, two hundred thirty-five thousand, three hundred twenty-eight".