7345224 has 72 divisors (see below), whose sum is σ = 21192210. Its totient is φ = 2297856.

The previous prime is 7345223. The next prime is 7345243. The reversal of 7345224 is 4225437.

It can be written as a sum of positive squares in 3 ways, for example, as 7193124 + 152100 = 2682^2 + 390^2 .

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

It is a super-2 number, since 2×7345224² = 107904631220352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7345223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20632 + ... + 20984.

Almost surely, 2^7345224 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 7345224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596105).

7345224 is an abundant number, since it is smaller than the sum of its proper divisors (13846986).

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

7345224 is a wasteful number, since it uses less digits than its factorization.

7345224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 375 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 7345224 is about 2710.2073721396. The cubic root of 7345224 is about 194.3875061828.

It can be divided in two parts, 7345 and 224, that added together give a square (7569 = 87²).

The spelling of 7345224 in words is "seven million, three hundred forty-five thousand, two hundred twenty-four".