224772 has 12 divisors (see below), whose sum is σ = 524496. Its totient is φ = 74920.

The previous prime is 224771. The next prime is 224797. The reversal of 224772 is 277422.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (224771) 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, 9354 + ... + 9377.

It is an arithmetic number, because the mean of its divisors is an integer number (43708).

2²²⁴⁷⁷² is an apocalyptic number.

It is an amenable number.

224772 is an abundant number, since it is smaller than the sum of its proper divisors (299724).

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

224772 is a wasteful number, since it uses less digits than its factorization.

224772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18738 (or 18736 counting only the distinct ones).

The product of its digits is 1568, while the sum is 24.

The square root of 224772 is about 474.1012550078. The cubic root of 224772 is about 60.8014686857.

Subtracting 224772 from its reverse (277422), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 224772 in words is "two hundred twenty-four thousand, seven hundred seventy-two", and thus it is an iban number.