2072728608257 has 2 divisors, whose sum is σ = 2072728608258. Its totient is φ = 2072728608256.

The previous prime is 2072728608221. The next prime is 2072728608283. The reversal of 2072728608257 is 7528068272702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2072214951361 + 513656896 = 1439519^2 + 22664^2 .

It is a cyclic number.

It is not a de Polignac number, because 2072728608257 - 2²² = 2072724413953 is a prime.

It is not a weakly prime, because it can be changed into another prime (2072728608217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1036364304128 + 1036364304129.

It is an arithmetic number, because the mean of its divisors is an integer number (1036364304129).

Almost surely, 2^{2072728608257} is an apocalyptic number.

It is an amenable number.

2072728608257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2072728608257 is an equidigital number, since it uses as much as digits as its factorization.

2072728608257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10536960, while the sum is 56.

The spelling of 2072728608257 in words is "two trillion, seventy-two billion, seven hundred twenty-eight million, six hundred eight thousand, two hundred fifty-seven".