7288224 has 72 divisors (see below), whose sum is σ = 20018880. Its totient is φ = 2321280.

The previous prime is 7288213. The next prime is 7288231. The reversal of 7288224 is 4228827.

7288224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92217 + ... + 92295.

It is an arithmetic number, because the mean of its divisors is an integer number (278040).

Almost surely, 2^7288224 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 7288224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10009440).

7288224 is an abundant number, since it is smaller than the sum of its proper divisors (12730656).

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

7288224 is a wasteful number, since it uses less digits than its factorization.

7288224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 115 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 7288224 is about 2699.6710910776. The cubic root of 7288224 is about 193.8833748322.

The spelling of 7288224 in words is "seven million, two hundred eighty-eight thousand, two hundred twenty-four".