9732873150 has 1152 divisors, whose sum is σ = 39309484032. Its totient is φ = 1658880000.

The previous prime is 9732873127. The next prime is 9732873151. The reversal of 9732873150 is 513782379.

It is a happy number.

9732873150 is a `hidden beast` number, since 9 + 7 + 328 + 7 + 315 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9732873096 and 9732873105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9732873151) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 237387130 + ... + 237387170.

It is an arithmetic number, because the mean of its divisors is an integer number (34122816).

Almost surely, 2^9732873150 is an apocalyptic number.

9732873150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9732873150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19654742016).

9732873150 is an abundant number, since it is smaller than the sum of its proper divisors (29576610882).

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

9732873150 is a wasteful number, since it uses less digits than its factorization.

9732873150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 9732873150 is about 98655.3249956636. The cubic root of 9732873150 is about 2135.0777156543.

The spelling of 9732873150 in words is "nine billion, seven hundred thirty-two million, eight hundred seventy-three thousand, one hundred fifty".