727816073 has 2 divisors, whose sum is σ = 727816074. Its totient is φ = 727816072.

The previous prime is 727816069. The next prime is 727816079. The reversal of 727816073 is 370618727.

727816073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 602555209 + 125260864 = 24547^2 + 11192^2 .

It is a cyclic number.

It is not a de Polignac number, because 727816073 - 2² = 727816069 is a prime.

It is a super-4 number, since 4×727816073⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 727816073.

It is not a weakly prime, because it can be changed into another prime (727816079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363908036 + 363908037.

It is an arithmetic number, because the mean of its divisors is an integer number (363908037).

Almost surely, 2^727816073 is an apocalyptic number.

It is an amenable number.

727816073 is a deficient number, since it is larger than the sum of its proper divisors (1).

727816073 is an equidigital number, since it uses as much as digits as its factorization.

727816073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784, while the sum is 41.

The square root of 727816073 is about 26978.0665170801. The cubic root of 727816073 is about 899.5125232532.

The spelling of 727816073 in words is "seven hundred twenty-seven million, eight hundred sixteen thousand, seventy-three".