9201532032 has 768 divisors, whose sum is σ = 35324640000. Its totient is φ = 2275983360.

The previous prime is 9201532009. The next prime is 9201532037. The reversal of 9201532032 is 2302351029.

It is a junction number, because it is equal to n+sod(n) for n = 9201531987 and 9201532005.

It is not an unprimeable number, because it can be changed into a prime (9201532037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126048348 + ... + 126048420.

It is an arithmetic number, because the mean of its divisors is an integer number (45995625).

Almost surely, 2^9201532032 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 9201532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662320000).

9201532032 is an abundant number, since it is smaller than the sum of its proper divisors (26123107968).

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

9201532032 is a wasteful number, since it uses less digits than its factorization.

9201532032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 9201532032 is about 95924.6164026732. The cubic root of 9201532032 is about 2095.4954110414.

The spelling of 9201532032 in words is "nine billion, two hundred one million, five hundred thirty-two thousand, thirty-two".