9672000 has 224 divisors, whose sum is σ = 35503104. Its totient is φ = 2304000.

The previous prime is 9671971. The next prime is 9672011. The reversal of 9672000 is 2769.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 311985 + ... + 312015.

It is an arithmetic number, because the mean of its divisors is an integer number (158496).

Almost surely, 2^9672000 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 9672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751552).

9672000 is an abundant number, since it is smaller than the sum of its proper divisors (25831104).

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

9672000 is a wasteful number, since it uses less digits than its factorization.

9672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 9672000 is about 3109.9839227880. The cubic root of 9672000 is about 213.0617203051.

Adding to 9672000 its reverse (2769), we get a palindrome (9674769).

The spelling of 9672000 in words is "nine million, six hundred seventy-two thousand".