164872 has 16 divisors (see below), whose sum is σ = 318060. Its totient is φ = 80064.

The previous prime is 164839. The next prime is 164881. The reversal of 164872 is 278461.

It can be written as a sum of positive squares in 2 ways, for example, as 164836 + 36 = 406^2 + 6^2 .

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 164872.

It is an unprimeable number.

164872 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, 18 + ... + 574.

2¹⁶⁴⁸⁷² is an apocalyptic number.

It is an amenable number.

164872 is a deficient number, since it is larger than the sum of its proper divisors (153188).

164872 is a wasteful number, since it uses less digits than its factorization.

164872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 164872 is about 406.0443325550. The cubic root of 164872 is about 54.8338789211.

The spelling of 164872 in words is "one hundred sixty-four thousand, eight hundred seventy-two".