727726718761 has 9 divisors (see below), whose sum is σ = 846546190749. Its totient is φ = 623760640524.

The previous prime is 727726718759. The next prime is 727726718791. The reversal of 727726718761 is 167817627727.

It is a happy number.

The square root of 727726718761 is 853069.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 727726718761 - 2¹ = 727726718759 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 727726718761.

It is not an unprimeable number, because it can be changed into a prime (727726718701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5910550 + ... + 6032416.

It is an arithmetic number, because the mean of its divisors is an integer number (94060687861).

Almost surely, 2^727726718761 is an apocalyptic number.

727726718761 is the 853069-th square number.

727726718761 is the 426535-th centered octagonal number.

It is an amenable number.

727726718761 is a deficient number, since it is larger than the sum of its proper divisors (118819471988).

727726718761 is an frugal number, since it uses more digits than its factorization.

727726718761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243748 (or 121874 counting only the distinct ones).

The product of its digits is 19361664, while the sum is 61.

The spelling of 727726718761 in words is "seven hundred twenty-seven billion, seven hundred twenty-six million, seven hundred eighteen thousand, seven hundred sixty-one".