72578728069201 has 2 divisors, whose sum is σ = 72578728069202. Its totient is φ = 72578728069200.

The previous prime is 72578728069193. The next prime is 72578728069213. The reversal of 72578728069201 is 10296082787527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37758579329601 + 34820148739600 = 6144801^2 + 5900860^2 .

It is a cyclic number.

It is not a de Polignac number, because 72578728069201 - 2³ = 72578728069193 is a prime.

It is not a weakly prime, because it can be changed into another prime (72578728069231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36289364034600 + 36289364034601.

It is an arithmetic number, because the mean of its divisors is an integer number (36289364034601).

Almost surely, 2^{72578728069201} is an apocalyptic number.

It is an amenable number.

72578728069201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72578728069201 is an equidigital number, since it uses as much as digits as its factorization.

72578728069201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47416320, while the sum is 64.

The spelling of 72578728069201 in words is "seventy-two trillion, five hundred seventy-eight billion, seven hundred twenty-eight million, sixty-nine thousand, two hundred one".