172328832 has 192 divisors, whose sum is σ = 550236960. Its totient is φ = 51425280.

The previous prime is 172328809. The next prime is 172328839. The reversal of 172328832 is 238823271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172328839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553957 + ... + 554267.

Almost surely, 2^172328832 is an apocalyptic number.

172328832 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 172328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275118480).

172328832 is an abundant number, since it is smaller than the sum of its proper divisors (377908128).

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

172328832 is a wasteful number, since it uses less digits than its factorization.

172328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 172328832 is about 13127.4076648819. The cubic root of 172328832 is about 556.4839565949.

The spelling of 172328832 in words is "one hundred seventy-two million, three hundred twenty-eight thousand, eight hundred thirty-two".