9007572600 has 576 divisors, whose sum is σ = 34549351200. Its totient is φ = 2167326720.

The previous prime is 9007572599. The next prime is 9007572601. The reversal of 9007572600 is 62757009.

It is an interprime number because it is at equal distance from previous prime (9007572599) and next prime (9007572601).

It is a super-2 number, since 2×9007572600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9007572601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33485266 + ... + 33485534.

Almost surely, 2^9007572600 is an apocalyptic number.

9007572600 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 9007572600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17274675600).

9007572600 is an abundant number, since it is smaller than the sum of its proper divisors (25541778600).

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

9007572600 is a wasteful number, since it uses less digits than its factorization.

9007572600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 9007572600 is about 94908.2325196292. The cubic root of 9007572600 is about 2080.6670536820.

The spelling of 9007572600 in words is "nine billion, seven million, five hundred seventy-two thousand, six hundred".