126072127 has 2 divisors, whose sum is σ = 126072128. Its totient is φ = 126072126.

The previous prime is 126072113. The next prime is 126072137. The reversal of 126072127 is 721270621.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 126072127 - 2⁷ = 126071999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126072095 and 126072104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126072137) 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 as a sum of consecutive naturals, namely, 63036063 + 63036064.

It is an arithmetic number, because the mean of its divisors is an integer number (63036064).

Almost surely, 2^126072127 is an apocalyptic number.

126072127 is a deficient number, since it is larger than the sum of its proper divisors (1).

126072127 is an equidigital number, since it uses as much as digits as its factorization.

126072127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 126072127 is about 11228.1844926061. The cubic root of 126072127 is about 501.4254350746.

The spelling of 126072127 in words is "one hundred twenty-six million, seventy-two thousand, one hundred twenty-seven".