729009792 has 96 divisors (see below), whose sum is σ = 2397514080. Its totient is φ = 208286208.

The previous prime is 729009761. The next prime is 729009847. The reversal of 729009792 is 297900927.

729009792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37138 + ... + 53265.

It is an arithmetic number, because the mean of its divisors is an integer number (24974105).

Almost surely, 2^729009792 is an apocalyptic number.

729009792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

729009792 is an abundant number, since it is smaller than the sum of its proper divisors (1668504288).

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

729009792 is a wasteful number, since it uses less digits than its factorization.

729009792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90430 (or 90415 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 729009792 is about 27000.1813327244. The cubic root of 729009792 is about 900.0040296116.

The spelling of 729009792 in words is "seven hundred twenty-nine million, nine thousand, seven hundred ninety-two".