72738903817 has 2 divisors, whose sum is σ = 72738903818. Its totient is φ = 72738903816.

The previous prime is 72738903779. The next prime is 72738903841. The reversal of 72738903817 is 71830983727.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67348554256 + 5390349561 = 259516^2 + 73419^2 .

It is a cyclic number.

It is not a de Polignac number, because 72738903817 - 2¹⁹ = 72738379529 is a prime.

It is not a weakly prime, because it can be changed into another prime (72738103817) 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, 36369451908 + 36369451909.

It is an arithmetic number, because the mean of its divisors is an integer number (36369451909).

Almost surely, 2^72738903817 is an apocalyptic number.

It is an amenable number.

72738903817 is a deficient number, since it is larger than the sum of its proper divisors (1).

72738903817 is an equidigital number, since it uses as much as digits as its factorization.

72738903817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3556224, while the sum is 55.

The spelling of 72738903817 in words is "seventy-two billion, seven hundred thirty-eight million, nine hundred three thousand, eight hundred seventeen".