729120000 has 540 divisors, whose sum is σ = 2911767936. Its totient is φ = 161280000.

The previous prime is 729119921. The next prime is 729120011. The reversal of 729120000 is 21927.

It is a happy number.

729120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23519985 + ... + 23520015.

Almost surely, 2^729120000 is an apocalyptic number.

729120000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455883968).

729120000 is an abundant number, since it is smaller than the sum of its proper divisors (2182647936).

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

729120000 is an equidigital number, since it uses as much as digits as its factorization.

729120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 729120000 is about 27002.2221307803. Note that the first 3 decimals coincide. The cubic root of 729120000 is about 900.0493800067.

Adding to 729120000 its reverse (21927), we get a palindrome (729141927).

The spelling of 729120000 in words is "seven hundred twenty-nine million, one hundred twenty thousand".