729855360 has 576 divisors, whose sum is σ = 2970611280. Its totient is φ = 170201088.

The previous prime is 729855323. The next prime is 729855367. The reversal of 729855360 is 63558927.

It is a happy number.

729855360 is a `hidden beast` number, since 7 + 2 + 98 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729855367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38413431 + ... + 38413449.

Almost surely, 2^729855360 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 729855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485305640).

729855360 is an abundant number, since it is smaller than the sum of its proper divisors (2240755920).

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

729855360 is a wasteful number, since it uses less digits than its factorization.

729855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 729855360 is about 27015.8353563239. The cubic root of 729855360 is about 900.3518624186.

The spelling of 729855360 in words is "seven hundred twenty-nine million, eight hundred fifty-five thousand, three hundred sixty".