729999 has 16 divisors (see below), whose sum is σ = 1139200. Its totient is φ = 460728.

The previous prime is 729991. The next prime is 730003. The reversal of 729999 is 999927.

It is not a de Polignac number, because 729999 - 2³ = 729991 is a prime.

It is a Duffinian number.

729999 is a modest number, since divided by 999 gives 729 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729991) 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 15 ways as a sum of consecutive naturals, for example, 199 + ... + 1224.

It is an arithmetic number, because the mean of its divisors is an integer number (71200).

2⁷²⁹⁹⁹⁹ is an apocalyptic number.

729999 is a deficient number, since it is larger than the sum of its proper divisors (409201).

729999 is a wasteful number, since it uses less digits than its factorization.

729999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1445 counting only the distinct ones).

The product of its digits is 91854, while the sum is 45.

The square root of 729999 is about 854.3997893258. The cubic root of 729999 is about 90.0410923462.

It can be divided in two parts, 729 and 999, that added together give a cube (1728 = 12³).

The spelling of 729999 in words is "seven hundred twenty-nine thousand, nine hundred ninety-nine".