727713 has 12 divisors (see below), whose sum is σ = 1201408. Its totient is φ = 415800.

The previous prime is 727711. The next prime is 727717. The reversal of 727713 is 317727.

It is not a de Polignac number, because 727713 - 2¹ = 727711 is a prime.

It is a Duffinian number.

727713 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 727713.

It is not an unprimeable number, because it can be changed into a prime (727711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5713 + ... + 5838.

2⁷²⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

727713 is a deficient number, since it is larger than the sum of its proper divisors (473695).

727713 is a wasteful number, since it uses less digits than its factorization.

727713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564 (or 11561 counting only the distinct ones).

The product of its digits is 2058, while the sum is 27.

The square root of 727713 is about 853.0609591348. The cubic root of 727713 is about 89.9470058389.

The spelling of 727713 in words is "seven hundred twenty-seven thousand, seven hundred thirteen".