728205 has 16 divisors (see below), whose sum is σ = 1193280. Its totient is φ = 379008.

The previous prime is 728191. The next prime is 728207. The reversal of 728205 is 502827.

728205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 728205 - 2⁵ = 728173 is a prime.

728205 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 728205.

It is not an unprimeable number, because it can be changed into a prime (728207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (74580).

2⁷²⁸²⁰⁵ is an apocalyptic number.

It is an amenable number.

728205 is a deficient number, since it is larger than the sum of its proper divisors (465075).

728205 is a wasteful number, since it uses less digits than its factorization.

728205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 728205 is about 853.3492837051. The cubic root of 728205 is about 89.9672720507.

The spelling of 728205 in words is "seven hundred twenty-eight thousand, two hundred five".