73281024000 has 1248 divisors, whose sum is σ = 297675356160. Its totient is φ = 17915904000.

The previous prime is 73281023989. The next prime is 73281024067. The reversal of 73281024000 is 42018237.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2363903985 + ... + 2363904015.

It is an arithmetic number, because the mean of its divisors is an integer number (238521920).

Almost surely, 2^73281024000 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 73281024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148837678080).

73281024000 is an abundant number, since it is smaller than the sum of its proper divisors (224394332160).

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

73281024000 is an equidigital number, since it uses as much as digits as its factorization.

73281024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 73281024000 in words is "seventy-three billion, two hundred eighty-one million, twenty-four thousand".