173352 has 32 divisors (see below), whose sum is σ = 449280. Its totient is φ = 55680.

The previous prime is 173347. The next prime is 173357. The reversal of 173352 is 253371.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (173347) and next prime (173357).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (173357) by changing a digit.

173352 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, 628 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2¹⁷³³⁵² is an apocalyptic number.

173352 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 173352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640).

173352 is an abundant number, since it is smaller than the sum of its proper divisors (275928).

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

173352 is a wasteful number, since it uses less digits than its factorization.

173352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 173352 is about 416.3556172312. The cubic root of 173352 is about 55.7583121525.

It can be divided in two parts, 173 and 352, that added together give a palindrome (525).

The spelling of 173352 in words is "one hundred seventy-three thousand, three hundred fifty-two".