73742661136 has 45 divisors (see below), whose sum is σ = 148036303623. Its totient is φ = 35584698240.

The previous prime is 73742661103. The next prime is 73742661137. The reversal of 73742661136 is 63116624737.

The square root of 73742661136 is 271556.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2346821136 + 71395840000 = 48444^2 + 267200^2 .

It is a super-3 number, since 3×73742661136³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73742661137) 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 8 ways as a sum of consecutive naturals, for example, 31499326 + ... + 31501666.

Almost surely, 2^73742661136 is an apocalyptic number.

73742661136 is the 271556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73742661136

73742661136 is an abundant number, since it is smaller than the sum of its proper divisors (74293642487).

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

73742661136 is an frugal number, since it uses more digits than its factorization.

73742661136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 2372 counting only the distinct ones).

The product of its digits is 762048, while the sum is 46.

The spelling of 73742661136 in words is "seventy-three billion, seven hundred forty-two million, six hundred sixty-one thousand, one hundred thirty-six".