73141731728 has 30 divisors (see below), whose sum is σ = 153451575234. Its totient is φ = 33757721088.

The previous prime is 73141731727. The next prime is 73141731769. The reversal of 73141731728 is 82713714137.

It can be written as a sum of positive squares in 3 ways, for example, as 42876304 + 73098855424 = 6548^2 + 270368^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (73141731727) 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 5 ways as a sum of consecutive naturals, for example, 13522025 + ... + 13527432.

Almost surely, 2^73141731728 is an apocalyptic number.

It is an amenable number.

73141731728 is an abundant number, since it is smaller than the sum of its proper divisors (80309843506).

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

73141731728 is a wasteful number, since it uses less digits than its factorization.

73141731728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27049491 (or 27049472 counting only the distinct ones).

The product of its digits is 197568, while the sum is 44.

The spelling of 73141731728 in words is "seventy-three billion, one hundred forty-one million, seven hundred thirty-one thousand, seven hundred twenty-eight".