872208 has 50 divisors (see below), whose sum is σ = 2528174. Its totient is φ = 290304.

The previous prime is 872203. The next prime is 872227. The reversal of 872208 is 802278.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 186624 = 828^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872208.

It is not an unprimeable number, because it can be changed into a prime (872203) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 960 + ... + 1632.

2⁸⁷²²⁰⁸ 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 872208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264087).

872208 is an abundant number, since it is smaller than the sum of its proper divisors (1655966).

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

872208 is a wasteful number, since it uses less digits than its factorization.

872208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 872208 is about 933.9207675172. The cubic root of 872208 is about 95.5447192407.

The spelling of 872208 in words is "eight hundred seventy-two thousand, two hundred eight".