729196416 has 384 divisors, whose sum is σ = 2472724800. Its totient is φ = 204374016.

The previous prime is 729196373. The next prime is 729196511. The reversal of 729196416 is 614691927.

729196416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9988956 + ... + 9989028.

Almost surely, 2^729196416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236362400).

729196416 is an abundant number, since it is smaller than the sum of its proper divisors (1743528384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729196416 is a wasteful number, since it uses less digits than its factorization.

729196416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 729196416 is about 27003.6370883627. The cubic root of 729196416 is about 900.0808223714.

The spelling of 729196416 in words is "seven hundred twenty-nine million, one hundred ninety-six thousand, four hundred sixteen".