73043082288000 has 3584 divisors, whose sum is σ = 317310204556800. Its totient is φ = 16573330944000.

The previous prime is 73043082287999. The next prime is 73043082288037. The reversal of 73043082288000 is 88228034037.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 880037135959 + ... + 880037136041.

It is an arithmetic number, because the mean of its divisors is an integer number (88535213325).

Almost surely, 2^{73043082288000} 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 73043082288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158655102278400).

73043082288000 is an abundant number, since it is smaller than the sum of its proper divisors (244267122268800).

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

73043082288000 is an frugal number, since it uses more digits than its factorization.

73043082288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 73043082288000 in words is "seventy-three trillion, forty-three billion, eighty-two million, two hundred eighty-eight thousand".