729563520 has 256 divisors, whose sum is σ = 2798553600. Its totient is φ = 157925376.

The previous prime is 729563503. The next prime is 729563561. The reversal of 729563520 is 25365927.

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, 253932 + ... + 256788.

It is an arithmetic number, because the mean of its divisors is an integer number (10931850).

Almost surely, 2^729563520 is an apocalyptic number.

729563520 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 729563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399276800).

729563520 is an abundant number, since it is smaller than the sum of its proper divisors (2068990080).

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

729563520 is a wasteful number, since it uses less digits than its factorization.

729563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 729563520 is about 27010.4335396528. The cubic root of 729563520 is about 900.2318415067.

The spelling of 729563520 in words is "seven hundred twenty-nine million, five hundred sixty-three thousand, five hundred twenty".