73333340073 has 18 divisors (see below), whose sum is σ = 123219966714. Its totient is φ = 41904765504.

The previous prime is 73333340051. The next prime is 73333340123. The reversal of 73333340073 is 37004333337.

It can be written as a sum of positive squares in only one way, i.e., 65133675369 + 8199664704 = 255213^2 + 90552^2 .

It is not a de Polignac number, because 73333340073 - 2¹⁴ = 73333323689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73333340273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83143936 + ... + 83144817.

Almost surely, 2^73333340073 is an apocalyptic number.

It is an amenable number.

73333340073 is a deficient number, since it is larger than the sum of its proper divisors (49886626641).

73333340073 is a wasteful number, since it uses less digits than its factorization.

73333340073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166288773 (or 166288763 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 36.

The spelling of 73333340073 in words is "seventy-three billion, three hundred thirty-three million, three hundred forty thousand, seventy-three".