171872 has 24 divisors (see below), whose sum is σ = 349272. Its totient is φ = 83200.

The previous prime is 171869. The next prime is 171877. The reversal of 171872 is 278171.

171872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171877) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1247 + ... + 1377.

It is an arithmetic number, because the mean of its divisors is an integer number (14553).

2¹⁷¹⁸⁷² 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 171872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174636).

171872 is an abundant number, since it is smaller than the sum of its proper divisors (177400).

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

171872 is a wasteful number, since it uses less digits than its factorization.

171872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its digits is 784, while the sum is 26.

The square root of 171872 is about 414.5744806425. The cubic root of 171872 is about 55.5991787743.

The spelling of 171872 in words is "one hundred seventy-one thousand, eight hundred seventy-two".