727117900801 has 8 divisors (see below), whose sum is σ = 735365965320. Its totient is φ = 718885183488.

The previous prime is 727117900787. The next prime is 727117900843. The reversal of 727117900801 is 108009711727.

It can be written as a sum of positive squares in 4 ways, for example, as 57707570176 + 669410330625 = 240224^2 + 818175^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 727117900801 - 2⁷ = 727117900673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727117970801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3741496 + ... + 3931033.

It is an arithmetic number, because the mean of its divisors is an integer number (91920745665).

Almost surely, 2^727117900801 is an apocalyptic number.

It is an amenable number.

727117900801 is a deficient number, since it is larger than the sum of its proper divisors (8248064519).

727117900801 is an equidigital number, since it uses as much as digits as its factorization.

727117900801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673603.

The product of its (nonzero) digits is 49392, while the sum is 43.

The spelling of 727117900801 in words is "seven hundred twenty-seven billion, one hundred seventeen million, nine hundred thousand, eight hundred one".