73717137081 has 45 divisors (see below), whose sum is σ = 124286927141. Its totient is φ = 42101271576.

The previous prime is 73717137049. The next prime is 73717137083. The reversal of 73717137081 is 18073171737.

The square root of 73717137081 is 271509.

It is a perfect power (a square), and thus also a powerful number.

73717137081 is a `hidden beast` number, since 7 + 37 + 171 + 370 + 81 = 666.

It is not a de Polignac number, because 73717137081 - 2⁵ = 73717137049 is a prime.

It is a super-2 number, since 2×73717137081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73717137083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39910900 + ... + 39912746.

Almost surely, 2^73717137081 is an apocalyptic number.

73717137081 is the 271509-th square number.

73717137081 is the 135755-th centered octagonal number.

It is an amenable number.

73717137081 is a deficient number, since it is larger than the sum of its proper divisors (50569790060).

73717137081 is an frugal number, since it uses more digits than its factorization.

73717137081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The spelling of 73717137081 in words is "seventy-three billion, seven hundred seventeen million, one hundred thirty-seven thousand, eighty-one".