729489024 has 256 divisors, whose sum is σ = 2428416000. Its totient is φ = 213580800.

The previous prime is 729488971. The next prime is 729489041. The reversal of 729489024 is 420984927.

729489024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×729489024² = 1064308472272945152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1178187 + ... + 1178805.

It is an arithmetic number, because the mean of its divisors is an integer number (9486000).

Almost surely, 2^729489024 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 729489024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214208000).

729489024 is an abundant number, since it is smaller than the sum of its proper divisors (1698926976).

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

729489024 is a wasteful number, since it uses less digits than its factorization.

729489024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 729489024 is about 27009.0544817844. The cubic root of 729489024 is about 900.2011994620.

The spelling of 729489024 in words is "seven hundred twenty-nine million, four hundred eighty-nine thousand, twenty-four".