99729 has 12 divisors (see below), whose sum is σ = 164736. Its totient is φ = 56952.

The previous prime is 99721. The next prime is 99733. The reversal of 99729 is 92799.

It is not a de Polignac number, because 99729 - 2³ = 99721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 99693 and 99702.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99729.

It is not an unprimeable number, because it can be changed into a prime (99721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 729 + ... + 854.

It is an arithmetic number, because the mean of its divisors is an integer number (13728).

2⁹⁹⁷²⁹ is an apocalyptic number.

It is an amenable number.

99729 is a deficient number, since it is larger than the sum of its proper divisors (65007).

99729 is a wasteful number, since it uses less digits than its factorization.

99729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1593 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 99729 is about 315.7989866988. The cubic root of 99729 is about 46.3739213840.

It can be divided in two parts, 99 and 729, that added together give a palindrome (828).

The spelling of 99729 in words is "ninety-nine thousand, seven hundred twenty-nine".