729413319 has 8 divisors (see below), whose sum is σ = 976798960. Its totient is φ = 484151616.

The previous prime is 729413309. The next prime is 729413341. The reversal of 729413319 is 913314927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 729413319 - 2⁴ = 729413303 is a prime.

It is a super-2 number, since 2×729413319² = 1064087579869191522, which contains 22 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 (729413309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530182 + ... + 531555.

It is an arithmetic number, because the mean of its divisors is an integer number (122099870).

Almost surely, 2^729413319 is an apocalyptic number.

729413319 is a deficient number, since it is larger than the sum of its proper divisors (247385641).

729413319 is a wasteful number, since it uses less digits than its factorization.

729413319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061969.

The product of its digits is 40824, while the sum is 39.

The square root of 729413319 is about 27007.6529709636. The cubic root of 729413319 is about 900.1700579884.

The spelling of 729413319 in words is "seven hundred twenty-nine million, four hundred thirteen thousand, three hundred nineteen".