165172 has 24 divisors (see below), whose sum is σ = 350784. Its totient is φ = 66432.

The previous prime is 165161. The next prime is 165173. The reversal of 165172 is 271561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165173) by changing a digit.

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, 303 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (14616).

2¹⁶⁵¹⁷² 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 165172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175392).

165172 is an abundant number, since it is smaller than the sum of its proper divisors (185612).

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

165172 is a wasteful number, since it uses less digits than its factorization.

165172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its digits is 420, while the sum is 22.

The square root of 165172 is about 406.4135824502. The cubic root of 165172 is about 54.8671172236.

The spelling of 165172 in words is "one hundred sixty-five thousand, one hundred seventy-two".