71587971 has 36 divisors (see below), whose sum is σ = 129550512. Its totient is φ = 37757664.

The previous prime is 71587939. The next prime is 71587973. The reversal of 71587971 is 17978517.

It is a happy number.

It is not a de Polignac number, because 71587971 - 2⁵ = 71587939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71587973) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 511 + ... + 11976.

Almost surely, 2^71587971 is an apocalyptic number.

71587971 is a deficient number, since it is larger than the sum of its proper divisors (57962541).

71587971 is a wasteful number, since it uses less digits than its factorization.

71587971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12520 (or 12510 counting only the distinct ones).

The product of its digits is 123480, while the sum is 45.

The square root of 71587971 is about 8460.9674978693. The cubic root of 71587971 is about 415.2216767003.

It can be divided in two parts, 7158 and 7971, that added together give a square (15129 = 123²).

The spelling of 71587971 in words is "seventy-one million, five hundred eighty-seven thousand, nine hundred seventy-one".