72500405773 has 2 divisors, whose sum is σ = 72500405774. Its totient is φ = 72500405772.

The previous prime is 72500405759. The next prime is 72500405779. The reversal of 72500405773 is 37750400527.

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., 66214611684 + 6285794089 = 257322^2 + 79283^2 .

It is a cyclic number.

It is not a de Polignac number, because 72500405773 - 2⁵ = 72500405741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72500405779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36250202886 + 36250202887.

It is an arithmetic number, because the mean of its divisors is an integer number (36250202887).

Almost surely, 2^72500405773 is an apocalyptic number.

It is an amenable number.

72500405773 is a deficient number, since it is larger than the sum of its proper divisors (1).

72500405773 is an equidigital number, since it uses as much as digits as its factorization.

72500405773 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 205800, while the sum is 40.

The spelling of 72500405773 in words is "seventy-two billion, five hundred million, four hundred five thousand, seven hundred seventy-three".