172832 has 24 divisors (see below), whose sum is σ = 371952. Its totient is φ = 78400.

The previous prime is 172829. The next prime is 172849. The reversal of 172832 is 238271.

It is a junction number, because it is equal to n+sod(n) for n = 172798 and 172807.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172832.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (15498).

2¹⁷²⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185976).

172832 is an abundant number, since it is smaller than the sum of its proper divisors (199120).

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

172832 is a wasteful number, since it uses less digits than its factorization.

172832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 172832 is about 415.7306820527. The cubic root of 172832 is about 55.7025040051.

The spelling of 172832 in words is "one hundred seventy-two thousand, eight hundred thirty-two".