872070 has 32 divisors (see below), whose sum is σ = 2147040. Its totient is φ = 226560.

The previous prime is 872057. The next prime is 872071. The reversal of 872070 is 70278.

872070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 872070.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872070.

It is not an unprimeable number, because it can be changed into a prime (872071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876 + ... + 1584.

It is an arithmetic number, because the mean of its divisors is an integer number (67095).

2⁸⁷²⁰⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073520).

872070 is an abundant number, since it is smaller than the sum of its proper divisors (1274970).

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

872070 is a wasteful number, since it uses less digits than its factorization.

872070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 872070 is about 933.8468825241. The cubic root of 872070 is about 95.5396799738.

The spelling of 872070 in words is "eight hundred seventy-two thousand, seventy".