93072410729 has 2 divisors, whose sum is σ = 93072410730. Its totient is φ = 93072410728.

The previous prime is 93072410707. The next prime is 93072410737. The reversal of 93072410729 is 92701427039.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71478696025 + 21593714704 = 267355^2 + 146948^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-93072410729 is a prime.

It is a super-2 number, since 2×93072410729² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 93072410729.

It is not a weakly prime, because it can be changed into another prime (93072410129) 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, 46536205364 + 46536205365.

It is an arithmetic number, because the mean of its divisors is an integer number (46536205365).

Almost surely, 2^93072410729 is an apocalyptic number.

It is an amenable number.

93072410729 is a deficient number, since it is larger than the sum of its proper divisors (1).

93072410729 is an equidigital number, since it uses as much as digits as its factorization.

93072410729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 190512, while the sum is 44.

The spelling of 93072410729 in words is "ninety-three billion, seventy-two million, four hundred ten thousand, seven hundred twenty-nine".