729505 has 16 divisors (see below), whose sum is σ = 1054080. Its totient is φ = 473472.

The previous prime is 729503. The next prime is 729511. The reversal of 729505 is 505927.

It is a cyclic number.

It is not a de Polignac number, because 729505 - 2¹ = 729503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (729503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (65880).

2⁷²⁹⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

729505 is a deficient number, since it is larger than the sum of its proper divisors (324575).

729505 is a wasteful number, since it uses less digits than its factorization.

729505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128.

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 729505 is about 854.1106485696. The cubic root of 729505 is about 90.0207770961.

Adding to 729505 its product of nonzero digits (3150), we get a triangular number (732655 = T₁₂₁₀).

The spelling of 729505 in words is "seven hundred twenty-nine thousand, five hundred five".