867872 has 24 divisors (see below), whose sum is σ = 1757196. Its totient is φ = 421632.

The previous prime is 867871. The next prime is 867887. The reversal of 867872 is 278768.

It can be written as a sum of positive squares in 2 ways, for example, as 633616 + 234256 = 796^2 + 484^2 .

It is not an unprimeable number, because it can be changed into a prime (867871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 818 + ... + 1550.

2⁸⁶⁷⁸⁷² 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 867872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878598).

867872 is an abundant number, since it is smaller than the sum of its proper divisors (889324).

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

867872 is a wasteful number, since it uses less digits than its factorization.

867872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 867872 is about 931.5964791690. The cubic root of 867872 is about 95.3861292750.

The spelling of 867872 in words is "eight hundred sixty-seven thousand, eight hundred seventy-two".