272224 has 24 divisors (see below), whose sum is σ = 550368. Its totient is φ = 132480.

The previous prime is 272203. The next prime is 272227. The reversal of 272224 is 422272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272227) 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 3 ways as a sum of consecutive naturals, for example, 1414 + ... + 1594.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2²⁷²²²⁴ 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 272224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

272224 is an abundant number, since it is smaller than the sum of its proper divisors (278144).

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

272224 is a wasteful number, since it uses less digits than its factorization.

272224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its digits is 448, while the sum is 19.

The square root of 272224 is about 521.7508984180. The cubic root of 272224 is about 64.8100172493.

Adding to 272224 its reverse (422272), we get a palindrome (694496).

It can be divided in two parts, 272 and 224, that added together give a triangular number (496 = T₃₁).

The spelling of 272224 in words is "two hundred seventy-two thousand, two hundred twenty-four", and thus it is an iban number.