172952 has 16 divisors (see below), whose sum is σ = 349440. Its totient is φ = 79776.

The previous prime is 172933. The next prime is 172969. The reversal of 172952 is 259271.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

172952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 728 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2¹⁷²⁹⁵² is an apocalyptic number.

It is an amenable number.

172952 is an abundant number, since it is smaller than the sum of its proper divisors (176488).

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

172952 is a wasteful number, since it uses less digits than its factorization.

172952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1678 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 172952 is about 415.8749812143. The cubic root of 172952 is about 55.7153927334.

The spelling of 172952 in words is "one hundred seventy-two thousand, nine hundred fifty-two".