872032 has 48 divisors (see below), whose sum is σ = 2086560. Its totient is φ = 350208.

The previous prime is 872023. The next prime is 872033. The reversal of 872032 is 230278.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 871994 and 872012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3694 + ... + 3922.

It is an arithmetic number, because the mean of its divisors is an integer number (43470).

2⁸⁷²⁰³² 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 872032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043280).

872032 is an abundant number, since it is smaller than the sum of its proper divisors (1214528).

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

872032 is a wasteful number, since it uses less digits than its factorization.

872032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 872032 is about 933.8265363546. The cubic root of 872032 is about 95.5382922562.

The spelling of 872032 in words is "eight hundred seventy-two thousand, thirty-two".