7136320 has 56 divisors (see below), whose sum is σ = 17602200. Its totient is φ = 2752512.

The previous prime is 7136317. The next prime is 7136369. The reversal of 7136320 is 236317.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 6594624 = 736^2 + 2568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7136291 and 7136300.

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, 8896 + ... + 9664.

It is an arithmetic number, because the mean of its divisors is an integer number (314325).

Almost surely, 2^7136320 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 7136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8801100).

7136320 is an abundant number, since it is smaller than the sum of its proper divisors (10465880).

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

7136320 is a wasteful number, since it uses less digits than its factorization.

7136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 7136320 is about 2671.3891517336. The cubic root of 7136320 is about 192.5269091522.

The spelling of 7136320 in words is "seven million, one hundred thirty-six thousand, three hundred twenty".