73232133000 has 256 divisors, whose sum is σ = 247146681600. Its totient is φ = 17946777600.

The previous prime is 73232132947. The next prime is 73232133041. The reversal of 73232133000 is 33123237.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9082971 + ... + 9091029.

It is an arithmetic number, because the mean of its divisors is an integer number (965416725).

Almost surely, 2^73232133000 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 73232133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123573340800).

73232133000 is an abundant number, since it is smaller than the sum of its proper divisors (173914548600).

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

73232133000 is a wasteful number, since it uses less digits than its factorization.

73232133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

Adding to 73232133000 its reverse (33123237), we get a palindrome (73265256237).

The spelling of 73232133000 in words is "seventy-three billion, two hundred thirty-two million, one hundred thirty-three thousand".