272711 has 8 divisors (see below), whose sum is σ = 290304. Its totient is φ = 255640.

The previous prime is 272693. The next prime is 272717. The reversal of 272711 is 117272.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 272711 - 2¹⁸ = 10567 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

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 272711.

It is not an unprimeable number, because it can be changed into a prime (272717) 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, 1550 + ... + 1716.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2²⁷²⁷¹¹ is an apocalyptic number.

272711 is a deficient number, since it is larger than the sum of its proper divisors (17593).

272711 is a wasteful number, since it uses less digits than its factorization.

272711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261.

The product of its digits is 196, while the sum is 20.

The square root of 272711 is about 522.2173876845. The cubic root of 272711 is about 64.8486419061.

Subtracting from 272711 its sum of digits (20), we obtain a triangular number (272691 = T₇₃₈).

Adding to 272711 its reverse (117272), we get a palindrome (389983).

It can be divided in two parts, 27271 and 1, that added together give a palindrome (27272).

The spelling of 272711 in words is "two hundred seventy-two thousand, seven hundred eleven", and thus it is an iban number.