72136042133 has 4 divisors (see below), whose sum is σ = 72321482220. Its totient is φ = 71950602048.

The previous prime is 72136042117. The next prime is 72136042151. The reversal of 72136042133 is 33124063127.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 50705131684 + 21430910449 = 225178^2 + 146393^2 .

It is a cyclic number.

It is not a de Polignac number, because 72136042133 - 2⁴ = 72136042117 is a prime.

It is a super-2 number, since 2×72136042133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72136042133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72136542133) 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, 92719460 + ... + 92720237.

It is an arithmetic number, because the mean of its divisors is an integer number (18080370555).

Almost surely, 2^72136042133 is an apocalyptic number.

It is an amenable number.

72136042133 is a deficient number, since it is larger than the sum of its proper divisors (185440087).

72136042133 is a wasteful number, since it uses less digits than its factorization.

72136042133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185440086.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 72136042133 in words is "seventy-two billion, one hundred thirty-six million, forty-two thousand, one hundred thirty-three".