272717 has 2 divisors, whose sum is σ = 272718. Its totient is φ = 272716.

The previous prime is 272693. The next prime is 272719. The reversal of 272717 is 717272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249001 + 23716 = 499^2 + 154^2 .

It is a cyclic number.

It is not a de Polignac number, because 272717 - 2¹⁰ = 271693 is a prime.

Together with 272719, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (272719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136358 + 136359.

It is an arithmetic number, because the mean of its divisors is an integer number (136359).

2²⁷²⁷¹⁷ is an apocalyptic number.

It is an amenable number.

272717 is a deficient number, since it is larger than the sum of its proper divisors (1).

272717 is an equidigital number, since it uses as much as digits as its factorization.

272717 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1372, while the sum is 26.

The square root of 272717 is about 522.2231323869. The cubic root of 272717 is about 64.8491174877.

Subtracting from 272717 its sum of digits (26), we obtain a triangular number (272691 = T₇₃₈).

Adding to 272717 its reverse (717272), we get a palindrome (989989).

It can be divided in two parts, 2727 and 17, that added together give a cube (2744 = 14³).

The spelling of 272717 in words is "two hundred seventy-two thousand, seven hundred seventeen", and thus it is an iban number.