729579520 has 128 divisors (see below), whose sum is σ = 1804047480. Its totient is φ = 283115520.

The previous prime is 729579509. The next prime is 729579523. The reversal of 729579520 is 25975927.

It can be written as a sum of positive squares in 4 ways, for example, as 403849216 + 325730304 = 20096^2 + 18048^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (729579523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9994204 + ... + 9994276.

Almost surely, 2^729579520 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 729579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902023740).

729579520 is an abundant number, since it is smaller than the sum of its proper divisors (1074467960).

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

729579520 is an frugal number, since it uses more digits than its factorization.

729579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 729579520 is about 27010.7297198724. The cubic root of 729579520 is about 900.2384224297.

The spelling of 729579520 in words is "seven hundred twenty-nine million, five hundred seventy-nine thousand, five hundred twenty".