7366224 has 80 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 2257920.

The previous prime is 7366223. The next prime is 7366259. The reversal of 7366224 is 4226637.

It is a super-2 number, since 2×7366224² = 108522512036352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7366191 and 7366200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7366223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37294 + ... + 37490.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^7366224 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 7366224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

7366224 is an abundant number, since it is smaller than the sum of its proper divisors (13257456).

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

7366224 is a wasteful number, since it uses less digits than its factorization.

7366224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 7366224 is about 2714.0788492599. The cubic root of 7366224 is about 194.5725812519.

The spelling of 7366224 in words is "seven million, three hundred sixty-six thousand, two hundred twenty-four".