7223328 has 72 divisors (see below), whose sum is σ = 23482368. Its totient is φ = 2063232.

The previous prime is 7223323. The next prime is 7223369. The reversal of 7223328 is 8233227.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7223323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225 + ... + 3807.

It is an arithmetic number, because the mean of its divisors is an integer number (326144).

Almost surely, 2^7223328 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 7223328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741184).

7223328 is an abundant number, since it is smaller than the sum of its proper divisors (16259040).

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

7223328 is a wasteful number, since it uses less digits than its factorization.

7223328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3595 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 7223328 is about 2687.6249738384. The cubic root of 7223328 is about 193.3061978034.

It can be divided in two parts, 72 and 23328, that multiplied together give a 8-th power (1679616 = 6⁸).

The spelling of 7223328 in words is "seven million, two hundred twenty-three thousand, three hundred twenty-eight".