872004 has 36 divisors (see below), whose sum is σ = 2368464. Its totient is φ = 248976.

The previous prime is 871993. The next prime is 872017. The reversal of 872004 is 400278.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 15.

It is an unprimeable number.

872004 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 11 ways as a sum of consecutive naturals, for example, 154 + ... + 1329.

2⁸⁷²⁰⁰⁴ is an apocalyptic number.

872004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184232).

872004 is an abundant number, since it is smaller than the sum of its proper divisors (1496460).

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

872004 is a wasteful number, since it uses less digits than its factorization.

872004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 872004 is about 933.8115441565. The cubic root of 872004 is about 95.5372697017.

The spelling of 872004 in words is "eight hundred seventy-two thousand, four".