729543120 has 80 divisors (see below), whose sum is σ = 2282800320. Its totient is φ = 192719872.

The previous prime is 729543109. The next prime is 729543121. The reversal of 729543120 is 21345927.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729543121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11476 + ... + 39884.

It is an arithmetic number, because the mean of its divisors is an integer number (28535004).

Almost surely, 2^729543120 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 729543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141400160).

729543120 is an abundant number, since it is smaller than the sum of its proper divisors (1553257200).

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

729543120 is a wasteful number, since it uses less digits than its factorization.

729543120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28532 (or 28526 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 729543120 is about 27010.0559051624. The cubic root of 729543120 is about 900.2234506902.

The spelling of 729543120 in words is "seven hundred twenty-nine million, five hundred forty-three thousand, one hundred twenty".