72825779710337 has 2 divisors, whose sum is σ = 72825779710338. Its totient is φ = 72825779710336.

The previous prime is 72825779710303. The next prime is 72825779710339. The reversal of 72825779710337 is 73301797752827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46390047928576 + 26435731781761 = 6811024^2 + 5141569^2 .

It is a cyclic number.

It is not a de Polignac number, because 72825779710337 - 2⁸ = 72825779710081 is a prime.

Together with 72825779710339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72825779710339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36412889855168 + 36412889855169.

It is an arithmetic number, because the mean of its divisors is an integer number (36412889855169).

Almost surely, 2^{72825779710337} is an apocalyptic number.

It is an amenable number.

72825779710337 is a deficient number, since it is larger than the sum of its proper divisors (1).

72825779710337 is an equidigital number, since it uses as much as digits as its factorization.

72825779710337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 217818720, while the sum is 68.

The spelling of 72825779710337 in words is "seventy-two trillion, eight hundred twenty-five billion, seven hundred seventy-nine million, seven hundred ten thousand, three hundred thirty-seven".