872304 has 40 divisors (see below), whose sum is σ = 2388240. Its totient is φ = 273408.

The previous prime is 872281. The next prime is 872317. The reversal of 872304 is 403278.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 1350.

It is an arithmetic number, because the mean of its divisors is an integer number (59706).

2⁸⁷²³⁰⁴ 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 872304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194120).

872304 is an abundant number, since it is smaller than the sum of its proper divisors (1515936).

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

872304 is a wasteful number, since it uses less digits than its factorization.

872304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 872304 is about 933.9721623261. The cubic root of 872304 is about 95.5482245042.

It can be divided in two parts, 872 and 304, that added together give a triangular number (1176 = T₄₈).

The spelling of 872304 in words is "eight hundred seventy-two thousand, three hundred four".