72771637167959 has 2 divisors, whose sum is σ = 72771637167960. Its totient is φ = 72771637167958.

The previous prime is 72771637167919. The next prime is 72771637168007. The reversal of 72771637167959 is 95976173617727.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72771637167959 is a prime.

It is a super-2 number, since 2×72771637167959² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72771637167959.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72771637167919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36385818583979 + 36385818583980.

It is an arithmetic number, because the mean of its divisors is an integer number (36385818583980).

Almost surely, 2^{72771637167959} is an apocalyptic number.

72771637167959 is a deficient number, since it is larger than the sum of its proper divisors (1).

72771637167959 is an equidigital number, since it uses as much as digits as its factorization.

72771637167959 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1470276360, while the sum is 77.

The spelling of 72771637167959 in words is "seventy-two trillion, seven hundred seventy-one billion, six hundred thirty-seven million, one hundred sixty-seven thousand, nine hundred fifty-nine".