7128160 has 96 divisors (see below), whose sum is σ = 19051200. Its totient is φ = 2500608.

The previous prime is 7128139. The next prime is 7128167. The reversal of 7128160 is 618217.

7128160 = T₅₈₅ + T₅₈₆ + ... + T₆₂₃.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7128167) 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, 47766 + ... + 47914.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 2^7128160 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 7128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525600).

7128160 is an abundant number, since it is smaller than the sum of its proper divisors (11923040).

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

7128160 is a wasteful number, since it uses less digits than its factorization.

7128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 7128160 is about 2669.8614196246. The cubic root of 7128160 is about 192.4534997595.

The spelling of 7128160 in words is "seven million, one hundred twenty-eight thousand, one hundred sixty".