221272 has 16 divisors (see below), whose sum is σ = 439560. Its totient is φ = 104064.

The previous prime is 221261. The next prime is 221281. The reversal of 221272 is 272122.

221272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221272² = 97922595968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 678 + ... + 949.

2²²¹²⁷² is an apocalyptic number.

It is an amenable number.

221272 is a deficient number, since it is larger than the sum of its proper divisors (218288).

221272 is a wasteful number, since it uses less digits than its factorization.

221272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1646 counting only the distinct ones).

The product of its digits is 112, while the sum is 16.

The square root of 221272 is about 470.3955782105. The cubic root of 221272 is about 60.4842296623.

Adding to 221272 its reverse (272122), we get a palindrome (493394).

The spelling of 221272 in words is "two hundred twenty-one thousand, two hundred seventy-two", and thus it is an iban number.