9007500 has 60 divisors (see below), whose sum is σ = 26285336. Its totient is φ = 2400000.

The previous prime is 9007499. The next prime is 9007507. The reversal of 9007500 is 57009.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×9007500² = 162270112500000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9007507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6900 + ... + 8100.

Almost surely, 2^9007500 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 9007500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142668).

9007500 is an abundant number, since it is smaller than the sum of its proper divisors (17277836).

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

9007500 is a wasteful number, since it uses less digits than its factorization.

9007500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 9007500 is about 3001.2497396918. The cubic root of 9007500 is about 208.0661463688.

The spelling of 9007500 in words is "nine million, seven thousand, five hundred".