9037728 has 72 divisors (see below), whose sum is σ = 29379168. Its totient is φ = 2581632.

The previous prime is 9037723. The next prime is 9037733. The reversal of 9037728 is 8277309.

It is an interprime number because it is at equal distance from previous prime (9037723) and next prime (9037733).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9037692 and 9037701.

It is not an unprimeable number, because it can be changed into a prime (9037723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226 + ... + 4257.

It is an arithmetic number, because the mean of its divisors is an integer number (408044).

Almost surely, 2^9037728 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 9037728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689584).

9037728 is an abundant number, since it is smaller than the sum of its proper divisors (20341440).

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

9037728 is a wasteful number, since it uses less digits than its factorization.

9037728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 9037728 is about 3006.2814239522. The cubic root of 9037728 is about 208.2986341498.

Adding to 9037728 its product of nonzero digits (21168), we get a triangular number (9058896 = T₄₂₅₆).

The spelling of 9037728 in words is "nine million, thirty-seven thousand, seven hundred twenty-eight".