12072761067 has 16 divisors (see below), whose sum is σ = 16511943168. Its totient is φ = 7841574720.

The previous prime is 12072761033. The next prime is 12072761069. The reversal of 12072761067 is 76016727021.

It is not a de Polignac number, because 12072761067 - 2¹⁴ = 12072744683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12072761069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25338 + ... + 157440.

It is an arithmetic number, because the mean of its divisors is an integer number (1031996448).

Almost surely, 2^12072761067 is an apocalyptic number.

12072761067 is a deficient number, since it is larger than the sum of its proper divisors (4439182101).

12072761067 is a wasteful number, since it uses less digits than its factorization.

12072761067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132890.

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 12072761067 in words is "twelve billion, seventy-two million, seven hundred sixty-one thousand, sixty-seven".