7368320 has 64 divisors (see below), whose sum is σ = 18268200. Its totient is φ = 2838528.

The previous prime is 7368313. The next prime is 7368323. The reversal of 7368320 is 238637.

It can be written as a sum of positive squares in 4 ways, for example, as 6431296 + 937024 = 2536^2 + 968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (7368323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18362 + ... + 18758.

Almost surely, 2^7368320 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 7368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9134100).

7368320 is an abundant number, since it is smaller than the sum of its proper divisors (10899880).

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

7368320 is a wasteful number, since it uses less digits than its factorization.

7368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 7368320 is about 2714.4649564877. The cubic root of 7368320 is about 194.5910341913.

The spelling of 7368320 in words is "seven million, three hundred sixty-eight thousand, three hundred twenty".