729327456 has 192 divisors, whose sum is σ = 2499517440. Its totient is φ = 203973120.

The previous prime is 729327419. The next prime is 729327457. The reversal of 729327456 is 654723927.

729327456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729327457) 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, 120601 + ... + 126503.

It is an arithmetic number, because the mean of its divisors is an integer number (13018320).

Almost surely, 2^729327456 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 729327456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249758720).

729327456 is an abundant number, since it is smaller than the sum of its proper divisors (1770189984).

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

729327456 is a wasteful number, since it uses less digits than its factorization.

729327456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5932 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 729327456 is about 27006.0633191882. The cubic root of 729327456 is about 900.1347353839.

The spelling of 729327456 in words is "seven hundred twenty-nine million, three hundred twenty-seven thousand, four hundred fifty-six".