729325920 has 96 divisors (see below), whose sum is σ = 2301384960. Its totient is φ = 194147840.

The previous prime is 729325913. The next prime is 729325973. The reversal of 729325920 is 29523927.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401815 + ... + 403625.

It is an arithmetic number, because the mean of its divisors is an integer number (23972760).

Almost surely, 2^729325920 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 729325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150692480).

729325920 is an abundant number, since it is smaller than the sum of its proper divisors (1572059040).

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

729325920 is a wasteful number, since it uses less digits than its factorization.

729325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 729325920 is about 27006.0348811150. The cubic root of 729325920 is about 900.1341034739.

The spelling of 729325920 in words is "seven hundred twenty-nine million, three hundred twenty-five thousand, nine hundred twenty".