170872 has 32 divisors (see below), whose sum is σ = 362880. Its totient is φ = 74880.

The previous prime is 170857. The next prime is 170873. The reversal of 170872 is 278071.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170873) by changing a digit.

170872 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 7 ways as a sum of consecutive naturals, for example, 3198 + ... + 3250.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹⁷⁰⁸⁷² 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 170872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

170872 is an abundant number, since it is smaller than the sum of its proper divisors (192008).

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

170872 is a wasteful number, since it uses less digits than its factorization.

170872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 170872 is about 413.3666653227. The cubic root of 170872 is about 55.4911383736.

It can be divided in two parts, 170 and 872, that multiplied together give a triangular number (148240 = T₅₄₄).

The spelling of 170872 in words is "one hundred seventy thousand, eight hundred seventy-two".