72126286127 has 12 divisors (see below), whose sum is σ = 83927999736. Its totient is φ = 61803378000.

The previous prime is 72126286091. The next prime is 72126286129. The reversal of 72126286127 is 72168262127.

It is not a de Polignac number, because 72126286127 - 2¹² = 72126282031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72126286129) 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 11 ways as a sum of consecutive naturals, for example, 67088 + ... + 385685.

It is an arithmetic number, because the mean of its divisors is an integer number (6993999978).

Almost surely, 2^72126286127 is an apocalyptic number.

72126286127 is a deficient number, since it is larger than the sum of its proper divisors (11801713609).

72126286127 is a wasteful number, since it uses less digits than its factorization.

72126286127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456038 (or 456031 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The spelling of 72126286127 in words is "seventy-two billion, one hundred twenty-six million, two hundred eighty-six thousand, one hundred twenty-seven".