7356160 has 72 divisors (see below), whose sum is σ = 20162016. Its totient is φ = 2519040.

The previous prime is 7356149. The next prime is 7356191. The reversal of 7356160 is 616537.

It is a super-2 number, since 2×7356160² = 108226179891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8550 + ... + 9370.

It is an arithmetic number, because the mean of its divisors is an integer number (280028).

Almost surely, 2^7356160 is an apocalyptic number.

7356160 is a gapful number since it is divisible by the number (70) 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 7356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10081008).

7356160 is an abundant number, since it is smaller than the sum of its proper divisors (12805856).

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

7356160 is an equidigital number, since it uses as much as digits as its factorization.

7356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 7356160 is about 2712.2241795250. The cubic root of 7356160 is about 194.4839301822.

The spelling of 7356160 in words is "seven million, three hundred fifty-six thousand, one hundred sixty".