729963 has 24 divisors (see below), whose sum is σ = 1205568. Its totient is φ = 421632.

The previous prime is 729947. The next prime is 729977. The reversal of 729963 is 369927.

It is not a de Polignac number, because 729963 - 2⁴ = 729947 is a prime.

729963 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (729913) 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, 1806 + ... + 2172.

It is an arithmetic number, because the mean of its divisors is an integer number (50232).

2⁷²⁹⁹⁶³ is an apocalyptic number.

729963 is a deficient number, since it is larger than the sum of its proper divisors (475605).

729963 is a wasteful number, since it uses less digits than its factorization.

729963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 729963 is about 854.3787216451. The cubic root of 729963 is about 90.0396121923.

Subtracting from 729963 its sum of digits (36), we obtain a palindrome (729927).

The spelling of 729963 in words is "seven hundred twenty-nine thousand, nine hundred sixty-three".