169872 has 20 divisors (see below), whose sum is σ = 438960. Its totient is φ = 56608.

The previous prime is 169859. The next prime is 169889. The reversal of 169872 is 278961.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 169872.

It is an unprimeable number.

169872 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, 1722 + ... + 1817.

It is an arithmetic number, because the mean of its divisors is an integer number (21948).

2¹⁶⁹⁸⁷² is an apocalyptic number.

169872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

169872 is an abundant number, since it is smaller than the sum of its proper divisors (269088).

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

169872 is a wasteful number, since it uses less digits than its factorization.

169872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3544 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 169872 is about 412.1553105323. The cubic root of 169872 is about 55.3826756206.

It can be divided in two parts, 1698 and 72, that added together give a triangular number (1770 = T₅₉).

The spelling of 169872 in words is "one hundred sixty-nine thousand, eight hundred seventy-two".