71256761 has 2 divisors, whose sum is σ = 71256762. Its totient is φ = 71256760.

The previous prime is 71256743. The next prime is 71256769. The reversal of 71256761 is 16765217.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40398736 + 30858025 = 6356^2 + 5555^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71256761 is a prime.

It is a super-2 number, since 2×71256761² = 10155051976422242, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_4187573 and since 71256761 and 4187573 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (71256769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35628380 + 35628381.

It is an arithmetic number, because the mean of its divisors is an integer number (35628381).

Almost surely, 2^71256761 is an apocalyptic number.

It is an amenable number.

71256761 is a deficient number, since it is larger than the sum of its proper divisors (1).

71256761 is an equidigital number, since it uses as much as digits as its factorization.

71256761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 35.

The square root of 71256761 is about 8441.3719856431. The cubic root of 71256761 is about 414.5803296085.

The spelling of 71256761 in words is "seventy-one million, two hundred fifty-six thousand, seven hundred sixty-one".