729591720 has 512 divisors, whose sum is σ = 2834818560. Its totient is φ = 147456000.

The previous prime is 729591701. The next prime is 729591721. The reversal of 729591720 is 27195927.

It is not an unprimeable number, because it can be changed into a prime (729591721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11960490 + ... + 11960550.

It is an arithmetic number, because the mean of its divisors is an integer number (5536755).

Almost surely, 2^729591720 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 729591720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417409280).

729591720 is an abundant number, since it is smaller than the sum of its proper divisors (2105226840).

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

729591720 is a wasteful number, since it uses less digits than its factorization.

729591720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 729591720 is about 27010.9555551076. The cubic root of 729591720 is about 900.2434403189.

The spelling of 729591720 in words is "seven hundred twenty-nine million, five hundred ninety-one thousand, seven hundred twenty".