729133349 has 32 divisors (see below), whose sum is σ = 905126400. Its totient is φ = 573161472.

The previous prime is 729133343. The next prime is 729133357. The reversal of 729133349 is 943331927.

It is a cyclic number.

It is not a de Polignac number, because 729133349 - 2²⁴ = 712356133 is a prime.

It is a super-3 number, since 3×729133349³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729133343) 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, 1216952 + ... + 1217550.

It is an arithmetic number, because the mean of its divisors is an integer number (28285200).

Almost surely, 2^729133349 is an apocalyptic number.

It is an amenable number.

729133349 is a deficient number, since it is larger than the sum of its proper divisors (175993051).

729133349 is a wasteful number, since it uses less digits than its factorization.

729133349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869.

The product of its digits is 122472, while the sum is 41.

The square root of 729133349 is about 27002.4693130091. The cubic root of 729133349 is about 900.0548727860.

The spelling of 729133349 in words is "seven hundred twenty-nine million, one hundred thirty-three thousand, three hundred forty-nine".