71933652641 has 2 divisors, whose sum is σ = 71933652642. Its totient is φ = 71933652640.

The previous prime is 71933652607. The next prime is 71933652647. The reversal of 71933652641 is 14625633917.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71929094416 + 4558225 = 268196^2 + 2135^2 .

It is an emirp because it is prime and its reverse (14625633917) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71933652641 - 2⁶ = 71933652577 is a prime.

It is not a weakly prime, because it can be changed into another prime (71933652647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35966826320 + 35966826321.

It is an arithmetic number, because the mean of its divisors is an integer number (35966826321).

Almost surely, 2^71933652641 is an apocalyptic number.

It is an amenable number.

71933652641 is a deficient number, since it is larger than the sum of its proper divisors (1).

71933652641 is an equidigital number, since it uses as much as digits as its factorization.

71933652641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 816480, while the sum is 47.

The spelling of 71933652641 in words is "seventy-one billion, nine hundred thirty-three million, six hundred fifty-two thousand, six hundred forty-one".