728713 has 2 divisors, whose sum is σ = 728714. Its totient is φ = 728712.

The previous prime is 728701. The next prime is 728723. The reversal of 728713 is 317827.

It is a happy number.

728713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 349-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 2809 = 852^2 + 53^2 .

It is an emirp because it is prime and its reverse (317827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 728713 - 2⁵ = 728681 is a prime.

728713 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (728723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364356 + 364357.

It is an arithmetic number, because the mean of its divisors is an integer number (364357).

2⁷²⁸⁷¹³ is an apocalyptic number.

It is an amenable number.

728713 is a deficient number, since it is larger than the sum of its proper divisors (1).

728713 is an equidigital number, since it uses as much as digits as its factorization.

728713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2352, while the sum is 28.

The square root of 728713 is about 853.6468824988. The cubic root of 728713 is about 89.9881877502.

It can be divided in two parts, 728 and 713, that added together give a palindrome (1441).

The spelling of 728713 in words is "seven hundred twenty-eight thousand, seven hundred thirteen".