729091920 has 160 divisors (see below), whose sum is σ = 2423094912. Its totient is φ = 180699136.

The previous prime is 729091907. The next prime is 729091949. The reversal of 729091920 is 29190927.

It is a happy number.

729091920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 337564 + ... + 339716.

Almost surely, 2^729091920 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 729091920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211547456).

729091920 is an abundant number, since it is smaller than the sum of its proper divisors (1694002992).

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

729091920 is a wasteful number, since it uses less digits than its factorization.

729091920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 729091920 is about 27001.7021685671. The cubic root of 729091920 is about 900.0378255707.

The spelling of 729091920 in words is "seven hundred twenty-nine million, ninety-one thousand, nine hundred twenty".