7224 has 32 divisors (see below), whose sum is σ = 21120. Its totient is φ = 2016.

The previous prime is 7219. The next prime is 7229. The reversal of 7224 is 4227.

It is a Cunningham number, because it is equal to 85²-1.

It is an interprime number because it is at equal distance from previous prime (7219) and next prime (7229).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a zygodrome in base 2 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (660).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10560).

7224 is an abundant number, since it is smaller than the sum of its proper divisors (13896).

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

7224 is a wasteful number, since it uses less digits than its factorization.

7224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 55 counting only the distinct ones).

The product of its digits is 112, while the sum is 15.

The square root of 7224 is about 84.9941174435. The cubic root of 7224 is about 19.3312192166.

It can be divided in two parts, 72 and 24, that multiplied together give a cube (1728 = 12³).

The spelling of 7224 in words is "seven thousand, two hundred twenty-four", and thus it is an iban number.