224072 has 16 divisors (see below), whose sum is σ = 432060. Its totient is φ = 108864.

The previous prime is 224071. The next prime is 224101. The reversal of 224072 is 270422.

224072 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 206116 + 17956 = 454^2 + 134^2 .

It is a super-2 number, since 2×224072² = 100416522368, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 224072.

It is not an unprimeable number, because it can be changed into a prime (224071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 674.

2²²⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

224072 is a deficient number, since it is larger than the sum of its proper divisors (207988).

224072 is a wasteful number, since it uses less digits than its factorization.

224072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 224072 is about 473.3624404196. The cubic root of 224072 is about 60.7382857168.

Adding to 224072 its reverse (270422), we get a palindrome (494494).

The spelling of 224072 in words is "two hundred twenty-four thousand, seventy-two", and thus it is an iban number.