729135 has 32 divisors (see below), whose sum is σ = 1416960. Its totient is φ = 352800.

The previous prime is 729073. The next prime is 729139. The reversal of 729135 is 531927.

It is not a de Polignac number, because 729135 - 2¹³ = 720943 is a prime.

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

729135 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 729099 and 729108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729139) 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, 1240 + ... + 1730.

It is an arithmetic number, because the mean of its divisors is an integer number (44280).

2⁷²⁹¹³⁵ is an apocalyptic number.

729135 is a deficient number, since it is larger than the sum of its proper divisors (687825).

729135 is a wasteful number, since it uses less digits than its factorization.

729135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 729135 is about 853.8940215273. The cubic root of 729135 is about 90.0055552127.

Adding to 729135 its product of digits (1890), we get a square (731025 = 855²).

The spelling of 729135 in words is "seven hundred twenty-nine thousand, one hundred thirty-five".