71837641 has 2 divisors, whose sum is σ = 71837642. Its totient is φ = 71837640.

The previous prime is 71837599. The next prime is 71837657. The reversal of 71837641 is 14673817.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50410000 + 21427641 = 7100^2 + 4629^2 .

It is an emirp because it is prime and its reverse (14673817) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71837641 - 2¹⁹ = 71313353 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71837641.

It is not a weakly prime, because it can be changed into another prime (71837741) 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, 35918820 + 35918821.

It is an arithmetic number, because the mean of its divisors is an integer number (35918821).

Almost surely, 2^71837641 is an apocalyptic number.

It is an amenable number.

71837641 is a deficient number, since it is larger than the sum of its proper divisors (1).

71837641 is an equidigital number, since it uses as much as digits as its factorization.

71837641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 37.

The square root of 71837641 is about 8475.7088789080. The cubic root of 71837641 is about 415.7038252590.

The spelling of 71837641 in words is "seventy-one million, eight hundred thirty-seven thousand, six hundred forty-one".