729077712 has 80 divisors (see below), whose sum is σ = 2058767040. Its totient is φ = 220492800.

The previous prime is 729077707. The next prime is 729077731. The reversal of 729077712 is 217770927.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347964 + ... + 350052.

It is an arithmetic number, because the mean of its divisors is an integer number (25734588).

Almost surely, 2^729077712 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 729077712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029383520).

729077712 is an abundant number, since it is smaller than the sum of its proper divisors (1329689328).

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

729077712 is a wasteful number, since it uses less digits than its factorization.

729077712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 42.

The square root of 729077712 is about 27001.4390727605. The cubic root of 729077712 is about 900.0319791106.

The spelling of 729077712 in words is "seven hundred twenty-nine million, seventy-seven thousand, seven hundred twelve".