872160 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 219648.

The previous prime is 872159. The next prime is 872161. The reversal of 872160 is 61278.

872160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (872159) and next prime (872161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 872160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872161) 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, 11001 + ... + 11079.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁸⁷²¹⁶⁰ is an apocalyptic number.

872160 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 872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

872160 is an abundant number, since it is smaller than the sum of its proper divisors (2030880).

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

872160 is a wasteful number, since it uses less digits than its factorization.

872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 872160 is about 933.8950690522. The cubic root of 872160 is about 95.5429665125.

The spelling of 872160 in words is "eight hundred seventy-two thousand, one hundred sixty".