272761 has 2 divisors, whose sum is σ = 272762. Its totient is φ = 272760.

The previous prime is 272759. The next prime is 272771. The reversal of 272761 is 167272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 75625 = 444^2 + 275^2 .

It is a cyclic number.

It is not a de Polignac number, because 272761 - 2¹ = 272759 is a prime.

Together with 272759, it forms a pair of twin primes.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (272771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136380 + 136381.

It is an arithmetic number, because the mean of its divisors is an integer number (136381).

2²⁷²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

272761 is a deficient number, since it is larger than the sum of its proper divisors (1).

272761 is an equidigital number, since it uses as much as digits as its factorization.

272761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1176, while the sum is 25.

The square root of 272761 is about 522.2652582740. The cubic root of 272761 is about 64.8526048729.

It can be divided in two parts, 27 and 2761, that multiplied together give a palindrome (74547).

The spelling of 272761 in words is "two hundred seventy-two thousand, seven hundred sixty-one".