729575 has 24 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 453600.

The previous prime is 729571. The next prime is 729577. The reversal of 729575 is 575927.

It is not a de Polignac number, because 729575 - 2² = 729571 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1736 + ... + 2114.

It is an arithmetic number, because the mean of its divisors is an integer number (47120).

2⁷²⁹⁵⁷⁵ is an apocalyptic number.

729575 is a deficient number, since it is larger than the sum of its proper divisors (401305).

729575 is a wasteful number, since it uses less digits than its factorization.

729575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its digits is 22050, while the sum is 35.

The square root of 729575 is about 854.1516258838. The cubic root of 729575 is about 90.0236563329.

It can be divided in two parts, 7 and 29575, that multiplied together give a square (207025 = 455²).

The spelling of 729575 in words is "seven hundred twenty-nine thousand, five hundred seventy-five".