9003672000 has 336 divisors, whose sum is σ = 33614148672. Its totient is φ = 2296166400.

The previous prime is 9003671947. The next prime is 9003672001. The reversal of 9003672000 is 2763009.

It is a super-2 number, since 2×9003672000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9003672001) 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 47 ways as a sum of consecutive naturals, for example, 1653282 + ... + 1658718.

Almost surely, 2^9003672000 is an apocalyptic number.

9003672000 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 9003672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16807074336).

9003672000 is an abundant number, since it is smaller than the sum of its proper divisors (24610476672).

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

9003672000 is a wasteful number, since it uses less digits than its factorization.

9003672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 9003672000 is about 94887.6809707140. The cubic root of 9003672000 is about 2080.3666759873.

The spelling of 9003672000 in words is "nine billion, three million, six hundred seventy-two thousand".