71142129 has 12 divisors (see below), whose sum is σ = 103224576. Its totient is φ = 47214072.

The previous prime is 71142119. The next prime is 71142139. The reversal of 71142129 is 92124117.

It is an interprime number because it is at equal distance from previous prime (71142119) and next prime (71142139).

It is not a de Polignac number, because 71142129 - 2²¹ = 69044977 is a prime.

It is a super-3 number, since 3×71142129³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (71142119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15717 + ... + 19730.

It is an arithmetic number, because the mean of its divisors is an integer number (8602048).

Almost surely, 2^71142129 is an apocalyptic number.

It is an amenable number.

71142129 is a deficient number, since it is larger than the sum of its proper divisors (32082447).

71142129 is a wasteful number, since it uses less digits than its factorization.

71142129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35676 (or 35673 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 71142129 is about 8434.5793611774. The cubic root of 71142129 is about 414.3578960747.

The spelling of 71142129 in words is "seventy-one million, one hundred forty-two thousand, one hundred twenty-nine".