728625 has 32 divisors (see below), whose sum is σ = 1272960. Its totient is φ = 369600.

The previous prime is 728579. The next prime is 728627. The reversal of 728625 is 526827.

728625 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 728625 - 2⁶ = 728561 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 728592 and 728601.

It is not an unprimeable number, because it can be changed into a prime (728627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10842 + ... + 10908.

It is an arithmetic number, because the mean of its divisors is an integer number (39780).

2⁷²⁸⁶²⁵ is an apocalyptic number.

728625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

728625 is a deficient number, since it is larger than the sum of its proper divisors (544335).

728625 is a wasteful number, since it uses less digits than its factorization.

728625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 728625 is about 853.5953373818. The cubic root of 728625 is about 89.9845652544.

The spelling of 728625 in words is "seven hundred twenty-eight thousand, six hundred twenty-five".