72808765573 has 2 divisors, whose sum is σ = 72808765574. Its totient is φ = 72808765572.

The previous prime is 72808765483. The next prime is 72808765577. The reversal of 72808765573 is 37556780827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70946584164 + 1862181409 = 266358^2 + 43153^2 .

It is an emirp because it is prime and its reverse (37556780827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72808765573 - 2²¹ = 72806668421 is a prime.

It is a super-2 number, since 2×72808765573² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72808765577) 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, 36404382786 + 36404382787.

It is an arithmetic number, because the mean of its divisors is an integer number (36404382787).

Almost surely, 2^72808765573 is an apocalyptic number.

It is an amenable number.

72808765573 is a deficient number, since it is larger than the sum of its proper divisors (1).

72808765573 is an equidigital number, since it uses as much as digits as its factorization.

72808765573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19756800, while the sum is 58.

The spelling of 72808765573 in words is "seventy-two billion, eight hundred eight million, seven hundred sixty-five thousand, five hundred seventy-three".