865872 has 60 divisors (see below), whose sum is σ = 2772640. Its totient is φ = 247104.

The previous prime is 865871. The next prime is 865877. The reversal of 865872 is 278568.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 865872.

It is not an unprimeable number, because it can be changed into a prime (865871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579 + ... + 1437.

2⁸⁶⁵⁸⁷² 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 865872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386320).

865872 is an abundant number, since it is smaller than the sum of its proper divisors (1906768).

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

865872 is a wasteful number, since it uses less digits than its factorization.

865872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 871 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 865872 is about 930.5224339047. The cubic root of 865872 is about 95.3128008770.

The spelling of 865872 in words is "eight hundred sixty-five thousand, eight hundred seventy-two".