872712 has 96 divisors (see below), whose sum is σ = 2695680. Its totient is φ = 253440.

The previous prime is 872687. The next prime is 872731. The reversal of 872712 is 217278.

It is a plaindrome in base 15.

It is an unprimeable number.

872712 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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28137 + ... + 28167.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2⁸⁷²⁷¹² 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 872712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347840).

872712 is an abundant number, since it is smaller than the sum of its proper divisors (1822968).

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

872712 is a wasteful number, since it uses less digits than its factorization.

872712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 872712 is about 934.1905587192. The cubic root of 872712 is about 95.5631190055.

The spelling of 872712 in words is "eight hundred seventy-two thousand, seven hundred twelve".