9067200 has 84 divisors (see below), whose sum is σ = 29763720. Its totient is φ = 2416640.

The previous prime is 9067189. The next prime is 9067207. The reversal of 9067200 is 27609.

It is a super-3 number, since 3×9067200³ (a number of 22 digits) contains 333 as substring.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9067207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3856 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (354330).

Almost surely, 2^9067200 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 9067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881860).

9067200 is an abundant number, since it is smaller than the sum of its proper divisors (20696520).

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

9067200 is a wasteful number, since it uses less digits than its factorization.

9067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1899 counting only the distinct ones).

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

The square root of 9067200 is about 3011.1791710225. The cubic root of 9067200 is about 208.5248088532.

The spelling of 9067200 in words is "nine million, sixty-seven thousand, two hundred".