71782106873 has 2 divisors, whose sum is σ = 71782106874. Its totient is φ = 71782106872.

The previous prime is 71782106791. The next prime is 71782106897. The reversal of 71782106873 is 37860128717.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56307493264 + 15474613609 = 237292^2 + 124397^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71782106873 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (71782106273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35891053436 + 35891053437.

It is an arithmetic number, because the mean of its divisors is an integer number (35891053437).

Almost surely, 2^71782106873 is an apocalyptic number.

It is an amenable number.

71782106873 is a deficient number, since it is larger than the sum of its proper divisors (1).

71782106873 is an equidigital number, since it uses as much as digits as its factorization.

71782106873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 790272, while the sum is 50.

The spelling of 71782106873 in words is "seventy-one billion, seven hundred eighty-two million, one hundred six thousand, eight hundred seventy-three".