172152 has 32 divisors (see below), whose sum is σ = 478800. Its totient is φ = 57312.

The previous prime is 172147. The next prime is 172153. The reversal of 172152 is 251271.

It is a super-2 number, since 2×172152² = 59272622208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172153) by changing a digit.

172152 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, 183 + ... + 614.

2¹⁷²¹⁵² is an apocalyptic number.

172152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

172152 is an abundant number, since it is smaller than the sum of its proper divisors (306648).

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

172152 is a wasteful number, since it uses less digits than its factorization.

172152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 802 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 172152 is about 414.9120388709. The cubic root of 172152 is about 55.6293549593.

It can be divided in two parts, 172 and 152, that added together give a square (324 = 18²).

The spelling of 172152 in words is "one hundred seventy-two thousand, one hundred fifty-two".