7228320 has 144 divisors (see below), whose sum is σ = 25528608. Its totient is φ = 1704960.

The previous prime is 7228253. The next prime is 7228321. The reversal of 7228320 is 238227.

It is a super-2 number, since 2×7228320² = 104497220044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7228321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195342 + ... + 195378.

It is an arithmetic number, because the mean of its divisors is an integer number (177282).

Almost surely, 2^7228320 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 7228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764304).

7228320 is an abundant number, since it is smaller than the sum of its proper divisors (18300288).

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

7228320 is a wasteful number, since it uses less digits than its factorization.

7228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 7228320 is about 2688.5535144386. The cubic root of 7228320 is about 193.3507184789.

The spelling of 7228320 in words is "seven million, two hundred twenty-eight thousand, three hundred twenty".