729240960 has 256 divisors, whose sum is σ = 2749593600. Its totient is φ = 160849920.

The previous prime is 729240937. The next prime is 729240983. The reversal of 729240960 is 69042927.

729240960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (729240937) and next prime (729240983).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388825 + ... + 390695.

It is an arithmetic number, because the mean of its divisors is an integer number (10740600).

Almost surely, 2^729240960 is an apocalyptic number.

729240960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

729240960 is an abundant number, since it is smaller than the sum of its proper divisors (2020352640).

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

729240960 is a wasteful number, since it uses less digits than its factorization.

729240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 729240960 is about 27004.4618535530. The cubic root of 729240960 is about 900.0991495705.

The spelling of 729240960 in words is "seven hundred twenty-nine million, two hundred forty thousand, nine hundred sixty".