73081570805712 has 480 divisors, whose sum is σ = 250237292716800. Its totient is φ = 20355013324800.

The previous prime is 73081570805671. The next prime is 73081570805743. The reversal of 73081570805712 is 21750807518037.

73081570805712 is a `hidden beast` number, since 7 + 3 + 0 + 8 + 1 + 570 + 8 + 0 + 57 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 133487412 + ... + 134033772.

It is an arithmetic number, because the mean of its divisors is an integer number (521327693160).

Almost surely, 2^{73081570805712} is an apocalyptic number.

73081570805712 is a gapful number since it is divisible by the number (72) 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 73081570805712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125118646358400).

73081570805712 is an abundant number, since it is smaller than the sum of its proper divisors (177155721911088).

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

73081570805712 is a wasteful number, since it uses less digits than its factorization.

73081570805712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546552 (or 546533 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 73081570805712 in words is "seventy-three trillion, eighty-one billion, five hundred seventy million, eight hundred five thousand, seven hundred twelve".