224172 has 36 divisors (see below), whose sum is σ = 611520. Its totient is φ = 68832.

The previous prime is 224171. The next prime is 224177. The reversal of 224172 is 271422.

224172 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (224171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229 + ... + 707.

2²²⁴¹⁷² 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 224172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305760).

224172 is an abundant number, since it is smaller than the sum of its proper divisors (387348).

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

224172 is a wasteful number, since it uses less digits than its factorization.

224172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 224172 is about 473.4680559446. The cubic root of 224172 is about 60.7473199041.

Adding to 224172 its reverse (271422), we get a palindrome (495594).

The spelling of 224172 in words is "two hundred twenty-four thousand, one hundred seventy-two", and thus it is an iban number.