73071944960 has 576 divisors, whose sum is σ = 223754227200. Its totient is φ = 22357278720.

The previous prime is 73071944929. The next prime is 73071944963. The reversal of 73071944960 is 6944917037.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73071944899 and 73071944908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73071944963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1782242540 + ... + 1782242580.

It is an arithmetic number, because the mean of its divisors is an integer number (388462200).

Almost surely, 2^73071944960 is an apocalyptic number.

73071944960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73071944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111877113600).

73071944960 is an abundant number, since it is smaller than the sum of its proper divisors (150682282240).

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

73071944960 is an equidigital number, since it uses as much as digits as its factorization.

73071944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The spelling of 73071944960 in words is "seventy-three billion, seventy-one million, nine hundred forty-four thousand, nine hundred sixty".