7522304 has 24 divisors (see below), whose sum is σ = 15045030. Its totient is φ = 3760128.

The previous prime is 7522289. The next prime is 7522321. The reversal of 7522304 is 4032257.

7522304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7398400 + 123904 = 2720^2 + 352^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7522304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 212 + ... + 3884.

Almost surely, 2^7522304 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 7522304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522515).

7522304 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

7522304 is an equidigital number, since it uses as much as digits as its factorization.

7522304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 7522304 is about 2742.6818991637. The cubic root of 7522304 is about 195.9372282674.

The spelling of 7522304 in words is "seven million, five hundred twenty-two thousand, three hundred four".