729825 has 24 divisors (see below), whose sum is σ = 1243968. Its totient is φ = 377280.

The previous prime is 729821. The next prime is 729851. The reversal of 729825 is 528927.

It is not a de Polignac number, because 729825 - 2² = 729821 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729825.

It is not an unprimeable number, because it can be changed into a prime (729821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2644 + ... + 2906.

It is an arithmetic number, because the mean of its divisors is an integer number (51832).

2⁷²⁹⁸²⁵ is an apocalyptic number.

729825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

729825 is a deficient number, since it is larger than the sum of its proper divisors (514143).

729825 is a wasteful number, since it uses less digits than its factorization.

729825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

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

The square root of 729825 is about 854.2979573896. The cubic root of 729825 is about 90.0339378182.

The spelling of 729825 in words is "seven hundred twenty-nine thousand, eight hundred twenty-five".