173232 has 40 divisors (see below), whose sum is σ = 498480. Its totient is φ = 57600.

The previous prime is 173219. The next prime is 173249. The reversal of 173232 is 232371.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 173232.

It is an unprimeable number.

173232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (12462).

2¹⁷³²³² is an apocalyptic number.

173232 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 173232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249240).

173232 is an abundant number, since it is smaller than the sum of its proper divisors (325248).

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

173232 is a wasteful number, since it uses less digits than its factorization.

173232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 173232 is about 416.2114847046. The cubic root of 173232 is about 55.7454432654.

It can be divided in two parts, 1732 and 32, that added together give a square (1764 = 42²).

The spelling of 173232 in words is "one hundred seventy-three thousand, two hundred thirty-two".