175252 has 24 divisors (see below), whose sum is σ = 383040. Its totient is φ = 68160.

The previous prime is 175229. The next prime is 175261. The reversal of 175252 is 252571.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2¹⁷⁵²⁵² 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 175252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

175252 is an abundant number, since it is smaller than the sum of its proper divisors (207788).

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

175252 is a wasteful number, since it uses less digits than its factorization.

175252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its digits is 700, while the sum is 22.

The square root of 175252 is about 418.6311025235. The cubic root of 175252 is about 55.9612827617.

It can be divided in two parts, 175 and 252, that multiplied together give a square (44100 = 210²).

The spelling of 175252 in words is "one hundred seventy-five thousand, two hundred fifty-two".