73688579201 has 2 divisors, whose sum is σ = 73688579202. Its totient is φ = 73688579200.

The previous prime is 73688579189. The next prime is 73688579207. The reversal of 73688579201 is 10297588637.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73590668176 + 97911025 = 271276^2 + 9895^2 .

It is a cyclic number.

It is not a de Polignac number, because 73688579201 - 2⁶ = 73688579137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (73688579207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36844289600 + 36844289601.

It is an arithmetic number, because the mean of its divisors is an integer number (36844289601).

Almost surely, 2^73688579201 is an apocalyptic number.

It is an amenable number.

73688579201 is a deficient number, since it is larger than the sum of its proper divisors (1).

73688579201 is an equidigital number, since it uses as much as digits as its factorization.

73688579201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 56.

The spelling of 73688579201 in words is "seventy-three billion, six hundred eighty-eight million, five hundred seventy-nine thousand, two hundred one".