72712271 has 2 divisors, whose sum is σ = 72712272. Its totient is φ = 72712270.

The previous prime is 72712253. The next prime is 72712303. The reversal of 72712271 is 17221727.

It is a weak prime.

It is an emirp because it is prime and its reverse (17221727) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72712271 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72712201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36356135 + 36356136.

It is an arithmetic number, because the mean of its divisors is an integer number (36356136).

Almost surely, 2^72712271 is an apocalyptic number.

72712271 is a deficient number, since it is larger than the sum of its proper divisors (1).

72712271 is an equidigital number, since it uses as much as digits as its factorization.

72712271 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2744, while the sum is 29.

The square root of 72712271 is about 8527.1490546372. The cubic root of 72712271 is about 417.3841020762.

Adding to 72712271 its reverse (17221727), we get a palindrome (89933998).

The spelling of 72712271 in words is "seventy-two million, seven hundred twelve thousand, two hundred seventy-one".