217272 has 32 divisors (see below), whose sum is σ = 593280. Its totient is φ = 65760.

The previous prime is 217271. The next prime is 217307. The reversal of 217272 is 272712.

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (18540).

2²¹⁷²⁷² is an apocalyptic number.

217272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

217272 is an abundant number, since it is smaller than the sum of its proper divisors (376008).

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

217272 is a wasteful number, since it uses less digits than its factorization.

217272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

The product of its digits is 392, while the sum is 21.

The square root of 217272 is about 466.1244469023. The cubic root of 217272 is about 60.1175473378.

Adding to 217272 its reverse (272712), we get a palindrome (489984).

The spelling of 217272 in words is "two hundred seventeen thousand, two hundred seventy-two", and thus it is an iban number.