220272 has 40 divisors (see below), whose sum is σ = 614544. Its totient is φ = 67584.

The previous prime is 220243. The next prime is 220279. The reversal of 220272 is 272022.

220272 is nontrivially palindromic in base 5.

220272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220272.

It is not an unprimeable number, because it can be changed into a prime (220279) by changing a digit.

220272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448 + ... + 800.

2²²⁰²⁷² 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 220272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307272).

220272 is an abundant number, since it is smaller than the sum of its proper divisors (394272).

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

220272 is a wasteful number, since it uses less digits than its factorization.

220272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

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

The square root of 220272 is about 469.3314393901. The cubic root of 220272 is about 60.3929760994.

Adding to 220272 its reverse (272022), we get a palindrome (492294).

The spelling of 220272 in words is "two hundred twenty thousand, two hundred seventy-two", and thus it is an iban number.