73112832000 has 576 divisors, whose sum is σ = 283919716080. Its totient is φ = 17989632000.

The previous prime is 73112831969. The next prime is 73112832007. The reversal of 73112832000 is 23821137.

73112832000 is a `hidden beast` number, since 7 + 311 + 28 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4477215744 + 68635616256 = 66912^2 + 261984^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (73112832007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29950780 + ... + 29953220.

Almost surely, 2^73112832000 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 73112832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141959858040).

73112832000 is an abundant number, since it is smaller than the sum of its proper divisors (210806884080).

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

73112832000 is a wasteful number, since it uses less digits than its factorization.

73112832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 73112832000 in words is "seventy-three billion, one hundred twelve million, eight hundred thirty-two thousand".