729360896 has 120 divisors (see below), whose sum is σ = 1636517652. Its totient is φ = 324403200.

The previous prime is 729360893. The next prime is 729360917. The reversal of 729360896 is 698063927.

It can be written as a sum of positive squares in 2 ways, for example, as 598487296 + 130873600 = 24464^2 + 11440^2 .

It is a super-2 number, since 2×729360896² = 1063934633227845632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (729360893) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3778976 + ... + 3779168.

Almost surely, 2^729360896 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 729360896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818258826).

729360896 is an abundant number, since it is smaller than the sum of its proper divisors (907156756).

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

729360896 is a wasteful number, since it uses less digits than its factorization.

729360896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The square root of 729360896 is about 27006.6824323166. The cubic root of 729360896 is about 900.1484923711.

The spelling of 729360896 in words is "seven hundred twenty-nine million, three hundred sixty thousand, eight hundred ninety-six".