872112 has 20 divisors (see below), whose sum is σ = 2253080. Its totient is φ = 290688.

The previous prime is 872107. The next prime is 872129. The reversal of 872112 is 211278.

872112 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 an unprimeable number.

872112 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, 9037 + ... + 9132.

It is an arithmetic number, because the mean of its divisors is an integer number (112654).

2⁸⁷²¹¹² is an apocalyptic number.

It is an amenable number.

872112 is an abundant number, since it is smaller than the sum of its proper divisors (1380968).

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

872112 is a wasteful number, since it uses less digits than its factorization.

872112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18180 (or 18174 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 872112 is about 933.8693698800. The cubic root of 872112 is about 95.5412137200.

The spelling of 872112 in words is "eight hundred seventy-two thousand, one hundred twelve".