729144000 has 672 divisors, whose sum is σ = 3028858560. Its totient is φ = 165888000.

The previous prime is 729143993. The next prime is 729144001. The reversal of 729144000 is 441927.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (729144001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17783980 + ... + 17784020.

It is an arithmetic number, because the mean of its divisors is an integer number (4507230).

Almost surely, 2^729144000 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 729144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514429280).

729144000 is an abundant number, since it is smaller than the sum of its proper divisors (2299714560).

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

729144000 is a wasteful number, since it uses less digits than its factorization.

729144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 729144000 is about 27002.6665349924. Note that the first 3 decimals coincide. The cubic root of 729144000 is about 900.0592553578.

Adding to 729144000 its reverse (441927), we get a palindrome (729585927).

The spelling of 729144000 in words is "seven hundred twenty-nine million, one hundred forty-four thousand".