728325 has 48 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 354240.

The previous prime is 728317. The next prime is 728333. The reversal of 728325 is 523827.

It is an interprime number because it is at equal distance from previous prime (728317) and next prime (728333).

It is not a de Polignac number, because 728325 - 2³ = 728317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 728325.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8734 + ... + 8816.

It is an arithmetic number, because the mean of its divisors is an integer number (30380).

2⁷²⁸³²⁵ is an apocalyptic number.

728325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

728325 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

728325 is a wasteful number, since it uses less digits than its factorization.

728325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 728325 is about 853.4195919945. The cubic root of 728325 is about 89.9722136444.

The spelling of 728325 in words is "seven hundred twenty-eight thousand, three hundred twenty-five".