9073824 has 48 divisors (see below), whose sum is σ = 24595200. Its totient is φ = 2926080.

The previous prime is 9073819. The next prime is 9073853. The reversal of 9073824 is 4283709.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1452 + ... + 4500.

It is an arithmetic number, because the mean of its divisors is an integer number (512400).

Almost surely, 2^9073824 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 9073824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297600).

9073824 is an abundant number, since it is smaller than the sum of its proper divisors (15521376).

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

9073824 is a wasteful number, since it uses less digits than its factorization.

9073824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 9073824 is about 3012.2788715522. The cubic root of 9073824 is about 208.5755754298.

It can be divided in two parts, 90738 and 24, that multiplied together give a palindrome (2177712).

The spelling of 9073824 in words is "nine million, seventy-three thousand, eight hundred twenty-four".