72036107137 has 4 divisors (see below), whose sum is σ = 72561918276. Its totient is φ = 71510296000.

The previous prime is 72036107119. The next prime is 72036107141. The reversal of 72036107137 is 73170163027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73170163027 = 13 ⋅5628474079.

It can be written as a sum of positive squares in 2 ways, for example, as 33038151696 + 38997955441 = 181764^2 + 197479^2 .

It is a cyclic number.

It is not a de Polignac number, because 72036107137 - 2³¹ = 69888623489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72036107096 and 72036107105.

It is not an unprimeable number, because it can be changed into a prime (72036107147) 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 3 ways as a sum of consecutive naturals, for example, 262905364 + ... + 262905637.

It is an arithmetic number, because the mean of its divisors is an integer number (18140479569).

Almost surely, 2^72036107137 is an apocalyptic number.

It is an amenable number.

72036107137 is a deficient number, since it is larger than the sum of its proper divisors (525811139).

72036107137 is a wasteful number, since it uses less digits than its factorization.

72036107137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525811138.

The product of its (nonzero) digits is 37044, while the sum is 37.

The spelling of 72036107137 in words is "seventy-two billion, thirty-six million, one hundred seven thousand, one hundred thirty-seven".