728727 has 8 divisors (see below), whose sum is σ = 975600. Its totient is φ = 483840.

The previous prime is 728723. The next prime is 728729. The reversal of 728727 is 727827.

It is a happy number.

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

It is not a de Polignac number, because 728727 - 2² = 728723 is a prime.

728727 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728727.

It is not an unprimeable number, because it can be changed into a prime (728723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1077 + ... + 1617.

It is an arithmetic number, because the mean of its divisors is an integer number (121950).

2⁷²⁸⁷²⁷ is an apocalyptic number.

728727 is a deficient number, since it is larger than the sum of its proper divisors (246873).

728727 is a wasteful number, since it uses less digits than its factorization.

728727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993.

The product of its digits is 10976, while the sum is 33.

The square root of 728727 is about 853.6550825714. The cubic root of 728727 is about 89.9887640294.

Subtracting from 728727 its reverse (727827), we obtain a square (900 = 30²).

The spelling of 728727 in words is "seven hundred twenty-eight thousand, seven hundred twenty-seven".