72271 has 2 divisors, whose sum is σ = 72272. Its totient is φ = 72270.

The previous prime is 72269. The next prime is 72277. The reversal of 72271 is 17227.

72271 = T₂₁₈ + T₂₁₉ + T₂₂₀.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72271 - 2¹ = 72269 is a prime.

Together with 72269, 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 (72277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36135 + 36136.

It is an arithmetic number, because the mean of its divisors is an integer number (36136).

2⁷²²⁷¹ is an apocalyptic number.

72271 is the 220-th centered triangular number.

72271 is a deficient number, since it is larger than the sum of its proper divisors (1).

72271 is an equidigital number, since it uses as much as digits as its factorization.

72271 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 196, while the sum is 19.

The square root of 72271 is about 268.8326617061. The cubic root of 72271 is about 41.6538058085.

Adding to 72271 its reverse (17227), we get a palindrome (89498).

It can be divided in two parts, 72 and 271, that added together give a palindrome (343).

The spelling of 72271 in words is "seventy-two thousand, two hundred seventy-one", and thus it is an iban number.