872832 has 32 divisors (see below), whose sum is σ = 2319480. Its totient is φ = 290816.

The previous prime is 872791. The next prime is 872843. The reversal of 872832 is 238278.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 8² + 7⁷ + 8² + 2¹⁴ + 3² + 2¹⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 872832.

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 872832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753 + ... + 1520.

2⁸⁷²⁸³² is an apocalyptic number.

It is an amenable number.

872832 is an abundant number, since it is smaller than the sum of its proper divisors (1446648).

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

872832 is a wasteful number, since it uses less digits than its factorization.

872832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2278 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 872832 is about 934.2547832364. The cubic root of 872832 is about 95.5674988577.

The spelling of 872832 in words is "eight hundred seventy-two thousand, eight hundred thirty-two".