872316 has 48 divisors (see below), whose sum is σ = 2328480. Its totient is φ = 282240.

The previous prime is 872281. The next prime is 872317. The reversal of 872316 is 613278.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 872316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872317) by changing a digit.

872316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4330 + ... + 4526.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2⁸⁷²³¹⁶ is an apocalyptic number.

872316 is the 591-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164240).

872316 is an abundant number, since it is smaller than the sum of its proper divisors (1456164).

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

872316 is a wasteful number, since it uses less digits than its factorization.

872316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 872316 is about 933.9785864783. The cubic root of 872316 is about 95.5486626440.

The spelling of 872316 in words is "eight hundred seventy-two thousand, three hundred sixteen".