6872160 has 96 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 1801728.

The previous prime is 6872149. The next prime is 6872171. The reversal of 6872160 is 612786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6872149) and next prime (6872171).

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49371 + ... + 49509.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^6872160 is an apocalyptic number.

6872160 is a gapful number since it is divisible by the number (60) 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 6872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

6872160 is an abundant number, since it is smaller than the sum of its proper divisors (15142560).

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

6872160 is a wasteful number, since it uses less digits than its factorization.

6872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6872160 is about 2621.4804977341. The cubic root of 6872160 is about 190.1214366805.

The spelling of 6872160 in words is "six million, eight hundred seventy-two thousand, one hundred sixty".