71052129 has 48 divisors (see below), whose sum is σ = 115599744. Its totient is φ = 41817600.

The previous prime is 71052103. The next prime is 71052151. The reversal of 71052129 is 92125017.

It is not a de Polignac number, because 71052129 - 2⁵ = 71052097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71052169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214494 + ... + 214824.

It is an arithmetic number, because the mean of its divisors is an integer number (2408328).

Almost surely, 2^71052129 is an apocalyptic number.

It is an amenable number.

71052129 is a deficient number, since it is larger than the sum of its proper divisors (44547615).

71052129 is a wasteful number, since it uses less digits than its factorization.

71052129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 71052129 is about 8429.2424926561. The cubic root of 71052129 is about 414.1830913187.

The spelling of 71052129 in words is "seventy-one million, fifty-two thousand, one hundred twenty-nine".