73872384000 has 448 divisors, whose sum is σ = 249032085120. Its totient is φ = 19444531200.

The previous prime is 73872383989. The next prime is 73872384007. The reversal of 73872384000 is 48327837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73872384007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427007914 + ... + 427008086.

It is an arithmetic number, because the mean of its divisors is an integer number (555875190).

Almost surely, 2^73872384000 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 73872384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124516042560).

73872384000 is an abundant number, since it is smaller than the sum of its proper divisors (175159701120).

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

73872384000 is a wasteful number, since it uses less digits than its factorization.

73872384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 73872384000 in words is "seventy-three billion, eight hundred seventy-two million, three hundred eighty-four thousand".