728125 has 12 divisors (see below), whose sum is σ = 914004. Its totient is φ = 580000.

The previous prime is 728113. The next prime is 728129. The reversal of 728125 is 521827.

It can be written as a sum of positive squares in 6 ways, for example, as 675684 + 52441 = 822^2 + 229^2 .

It is not a de Polignac number, because 728125 - 2⁷ = 727997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 728125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3009 + ... + 3241.

It is an arithmetic number, because the mean of its divisors is an integer number (76167).

2⁷²⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

728125 is a deficient number, since it is larger than the sum of its proper divisors (185879).

728125 is an frugal number, since it uses more digits than its factorization.

728125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 238 counting only the distinct ones).

The product of its digits is 1120, while the sum is 25.

The square root of 728125 is about 853.3024082938. The cubic root of 728125 is about 89.9639773533.

The spelling of 728125 in words is "seven hundred twenty-eight thousand, one hundred twenty-five".