871872 has 56 divisors (see below), whose sum is σ = 2438400. Its totient is φ = 274176.

The previous prime is 871867. The next prime is 871883. The reversal of 871872 is 278178.

It is a congruent number.

It is an unprimeable number.

871872 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, 3529 + ... + 3767.

2⁸⁷¹⁸⁷² 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 871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219200).

871872 is an abundant number, since it is smaller than the sum of its proper divisors (1566528).

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

871872 is a wasteful number, since it uses less digits than its factorization.

871872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 871872 is about 933.7408634091. The cubic root of 871872 is about 95.5324487926.

The spelling of 871872 in words is "eight hundred seventy-one thousand, eight hundred seventy-two".