73066441728 has 352 divisors, whose sum is σ = 240530688000. Its totient is φ = 19643301888.

The previous prime is 73066441709. The next prime is 73066441739. The reversal of 73066441728 is 82714466037.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17910793 + ... + 17914871.

Almost surely, 2^73066441728 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 73066441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120265344000).

73066441728 is an abundant number, since it is smaller than the sum of its proper divisors (167464246272).

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

73066441728 is a wasteful number, since it uses less digits than its factorization.

73066441728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 73066441728 in words is "seventy-three billion, sixty-six million, four hundred forty-one thousand, seven hundred twenty-eight".