728925 has 12 divisors (see below), whose sum is σ = 1205280. Its totient is φ = 388720.

The previous prime is 728921. The next prime is 728927. The reversal of 728925 is 529827.

It is not a de Polignac number, because 728925 - 2² = 728921 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4785 + ... + 4934.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

2⁷²⁸⁹²⁵ is an apocalyptic number.

728925 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

728925 is a deficient number, since it is larger than the sum of its proper divisors (476355).

728925 is a wasteful number, since it uses less digits than its factorization.

728925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9732 (or 9727 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 728925 is about 853.7710465927. The cubic root of 728925 is about 89.9969134744.

It can be divided in two parts, 728 and 925, that added together give a triangular number (1653 = T₅₇).

The spelling of 728925 in words is "seven hundred twenty-eight thousand, nine hundred twenty-five".