72786958037 has 2 divisors, whose sum is σ = 72786958038. Its totient is φ = 72786958036.

The previous prime is 72786957949. The next prime is 72786958061. The reversal of 72786958037 is 73085968727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51361610161 + 21425347876 = 226631^2 + 146374^2 .

It is a cyclic number.

It is not a de Polignac number, because 72786958037 - 2²² = 72782763733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72786958537) 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, 36393479018 + 36393479019.

It is an arithmetic number, because the mean of its divisors is an integer number (36393479019).

Almost surely, 2^72786958037 is an apocalyptic number.

It is an amenable number.

72786958037 is a deficient number, since it is larger than the sum of its proper divisors (1).

72786958037 is an equidigital number, since it uses as much as digits as its factorization.

72786958037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35562240, while the sum is 62.

The spelling of 72786958037 in words is "seventy-two billion, seven hundred eighty-six million, nine hundred fifty-eight thousand, thirty-seven".