6752160 has 120 divisors (see below), whose sum is σ = 23875236. Its totient is φ = 1797120.

The previous prime is 6752159. The next prime is 6752173. The reversal of 6752160 is 612576.

It can be written as a sum of positive squares in 2 ways, for example, as 6533136 + 219024 = 2556^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12700 + ... + 13220.

Almost surely, 2^6752160 is an apocalyptic number.

6752160 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 6752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937618).

6752160 is an abundant number, since it is smaller than the sum of its proper divisors (17123076).

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

6752160 is a wasteful number, since it uses less digits than its factorization.

6752160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 6752160 is about 2598.4918702971. The cubic root of 6752160 is about 189.0083140711.

The spelling of 6752160 in words is "six million, seven hundred fifty-two thousand, one hundred sixty".