729286656 has 192 divisors, whose sum is σ = 2297917440. Its totient is φ = 201277440.

The previous prime is 729286651. The next prime is 729286667. The reversal of 729286656 is 656682927.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 729286599 and 729286608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729286651) 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, 1332975 + ... + 1333521.

It is an arithmetic number, because the mean of its divisors is an integer number (11968320).

Almost surely, 2^729286656 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 729286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148958720).

729286656 is an abundant number, since it is smaller than the sum of its proper divisors (1568630784).

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

729286656 is a wasteful number, since it uses less digits than its factorization.

729286656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 590 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 729286656 is about 27005.3079227029. The cubic root of 729286656 is about 900.1179499734.

The spelling of 729286656 in words is "seven hundred twenty-nine million, two hundred eighty-six thousand, six hundred fifty-six".