72137312063 has 2 divisors, whose sum is σ = 72137312064. Its totient is φ = 72137312062.

The previous prime is 72137312057. The next prime is 72137312189. The reversal of 72137312063 is 36021373127.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72137312063 - 2⁴ = 72137312047 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72137312963) 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, 36068656031 + 36068656032.

It is an arithmetic number, because the mean of its divisors is an integer number (36068656032).

Almost surely, 2^72137312063 is an apocalyptic number.

72137312063 is a deficient number, since it is larger than the sum of its proper divisors (1).

72137312063 is an equidigital number, since it uses as much as digits as its factorization.

72137312063 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 35.

The spelling of 72137312063 in words is "seventy-two billion, one hundred thirty-seven million, three hundred twelve thousand, sixty-three".