7206304 has 48 divisors (see below), whose sum is σ = 16547328. Its totient is φ = 3025152.

The previous prime is 7206289. The next prime is 7206307. The reversal of 7206304 is 4036027.

It is not an unprimeable number, because it can be changed into a prime (7206307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11569 + ... + 12175.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 2^7206304 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 7206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664).

7206304 is an abundant number, since it is smaller than the sum of its proper divisors (9341024).

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

7206304 is a wasteful number, since it uses less digits than its factorization.

7206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 7206304 is about 2684.4559970318. The cubic root of 7206304 is about 193.1542164545.

The spelling of 7206304 in words is "seven million, two hundred six thousand, three hundred four".