73014912000 has 704 divisors, whose sum is σ = 277640014080. Its totient is φ = 18911232000.

The previous prime is 73014911953. The next prime is 73014912077. The reversal of 73014912000 is 21941037.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127871715 + ... + 127872285.

It is an arithmetic number, because the mean of its divisors is an integer number (394375020).

Almost surely, 2^73014912000 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 73014912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138820007040).

73014912000 is an abundant number, since it is smaller than the sum of its proper divisors (204625102080).

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

73014912000 is a wasteful number, since it uses less digits than its factorization.

73014912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 73014912000 in words is "seventy-three billion, fourteen million, nine hundred twelve thousand".