271272 has 32 divisors (see below), whose sum is σ = 691200. Its totient is φ = 88704.

The previous prime is 271261. The next prime is 271273. The reversal of 271272 is 272172.

It is an Ulam number.

It is a plaindrome in base 15.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (271273) by changing a digit.

271272 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 2073 + ... + 2199.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2²⁷¹²⁷² is an apocalyptic number.

It is an amenable number.

271272 is an abundant number, since it is smaller than the sum of its proper divisors (419928).

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

271272 is a wasteful number, since it uses less digits than its factorization.

271272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

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

The square root of 271272 is about 520.8377866476. The cubic root of 271272 is about 64.7343795397.

Subtracting 271272 from its reverse (272172), we obtain a square (900 = 30²).

The spelling of 271272 in words is "two hundred seventy-one thousand, two hundred seventy-two", and thus it is an iban number.