872320 has 64 divisors (see below), whose sum is σ = 2203200. Its totient is φ = 329728.

The previous prime is 872317. The next prime is 872323. The reversal of 872320 is 23278.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (872317) and next prime (872323).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 872291 and 872300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872323) 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, 18537 + ... + 18583.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

2⁸⁷²³²⁰ is an apocalyptic number.

872320 is a gapful number since it is divisible by the number (80) 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 872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600).

872320 is an abundant number, since it is smaller than the sum of its proper divisors (1330880).

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

872320 is a wasteful number, since it uses less digits than its factorization.

872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

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

The square root of 872320 is about 933.9807278526. The cubic root of 872320 is about 95.5488086898.

Adding to 872320 its reverse (23278), we get a palindrome (895598).

The spelling of 872320 in words is "eight hundred seventy-two thousand, three hundred twenty".