72750761257 has 2 divisors, whose sum is σ = 72750761258. Its totient is φ = 72750761256.

The previous prime is 72750761249. The next prime is 72750761273. The reversal of 72750761257 is 75216705727.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42648858256 + 30101903001 = 206516^2 + 173499^2 .

It is a cyclic number.

It is not a de Polignac number, because 72750761257 - 2³ = 72750761249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72750761257.

It is not a weakly prime, because it can be changed into another prime (72750761297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36375380628 + 36375380629.

It is an arithmetic number, because the mean of its divisors is an integer number (36375380629).

Almost surely, 2^72750761257 is an apocalyptic number.

It is an amenable number.

72750761257 is a deficient number, since it is larger than the sum of its proper divisors (1).

72750761257 is an equidigital number, since it uses as much as digits as its factorization.

72750761257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440600, while the sum is 49.

The spelling of 72750761257 in words is "seventy-two billion, seven hundred fifty million, seven hundred sixty-one thousand, two hundred fifty-seven".