729125 has 16 divisors (see below), whose sum is σ = 960960. Its totient is φ = 550800.

The previous prime is 729073. The next prime is 729139. The reversal of 729125 is 521927.

It is not a de Polignac number, because 729125 - 2⁸ = 728869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 729094 and 729103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2222 + ... + 2528.

It is an arithmetic number, because the mean of its divisors is an integer number (60060).

2⁷²⁹¹²⁵ is an apocalyptic number.

It is an amenable number.

729125 is a deficient number, since it is larger than the sum of its proper divisors (231835).

729125 is a wasteful number, since it uses less digits than its factorization.

729125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 729125 is about 853.8881659796. Note that the first 3 decimals coincide. The cubic root of 729125 is about 90.0051437389.

It can be divided in two parts, 729 and 125, that multiplied together give a cube (91125 = 45³).

The spelling of 729125 in words is "seven hundred twenty-nine thousand, one hundred twenty-five".