729538656 has 288 divisors, whose sum is σ = 2540014848. Its totient is φ = 180956160.

The previous prime is 729538643. The next prime is 729538681. The reversal of 729538656 is 656835927.

It is a happy number.

729538656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 729538599 and 729538608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189806 + ... + 1190418.

It is an arithmetic number, because the mean of its divisors is an integer number (8819496).

Almost surely, 2^729538656 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 729538656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270007424).

729538656 is an abundant number, since it is smaller than the sum of its proper divisors (1810476192).

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

729538656 is a wasteful number, since it uses less digits than its factorization.

729538656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 659 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 729538656 is about 27009.9732691463. The cubic root of 729538656 is about 900.2216145613.

The spelling of 729538656 in words is "seven hundred twenty-nine million, five hundred thirty-eight thousand, six hundred fifty-six".