7205224 has 32 divisors (see below), whose sum is σ = 15057000. Its totient is φ = 3209472.

The previous prime is 7205213. The next prime is 7205243. The reversal of 7205224 is 4225027.

It can be written as a sum of positive squares in 4 ways, for example, as 4072324 + 3132900 = 2018^2 + 1770^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7205195 and 7205204.

It is an unprimeable number.

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, 1822 + ... + 4210.

Almost surely, 2^7205224 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 7205224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528500).

7205224 is an abundant number, since it is smaller than the sum of its proper divisors (7851776).

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

7205224 is a wasteful number, since it uses less digits than its factorization.

7205224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 7205224 is about 2684.2548314197. The cubic root of 7205224 is about 193.1445667101.

The spelling of 7205224 in words is "seven million, two hundred five thousand, two hundred twenty-four".