9729000 has 192 divisors, whose sum is σ = 35043840. Its totient is φ = 2428800.

The previous prime is 9728941. The next prime is 9729017. The reversal of 9729000 is 9279.

9729000 is digitally balanced in base 2 and base 4, because in such bases 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 47 ways as a sum of consecutive naturals, for example, 206977 + ... + 207023.

It is an arithmetic number, because the mean of its divisors is an integer number (182520).

Almost surely, 2^9729000 is an apocalyptic number.

9729000 is a gapful number since it is divisible by the number (90) 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 9729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521920).

9729000 is an abundant number, since it is smaller than the sum of its proper divisors (25314840).

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

9729000 is a wasteful number, since it uses less digits than its factorization.

9729000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 9729000 is about 3119.1344953368. The cubic root of 9729000 is about 213.4794463446.

The spelling of 9729000 in words is "nine million, seven hundred twenty-nine thousand".