71126127 has 8 divisors (see below), whose sum is σ = 105372080. Its totient is φ = 47417400.

The previous prime is 71126071. The next prime is 71126141. The reversal of 71126127 is 72162117.

It is a de Polignac number, because none of the positive numbers 2^k-71126127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2634301 = 71126127 / (7 + 1 + 1 + 2 + 6 + 1 + 2 + 7).

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 71126127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71126197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1317124 + ... + 1317177.

It is an arithmetic number, because the mean of its divisors is an integer number (13171510).

Almost surely, 2^71126127 is an apocalyptic number.

71126127 is a deficient number, since it is larger than the sum of its proper divisors (34245953).

71126127 is a wasteful number, since it uses less digits than its factorization.

71126127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634310 (or 2634304 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 71126127 is about 8433.6307128069. The cubic root of 71126127 is about 414.3268265695.

It can be divided in two parts, 71126 and 127, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 71126127 in words is "seventy-one million, one hundred twenty-six thousand, one hundred twenty-seven".