71967987 has 64 divisors (see below), whose sum is σ = 139023360. Its totient is φ = 35707392.

The previous prime is 71967971. The next prime is 71968007. The reversal of 71967987 is 78976917.

It is not a de Polignac number, because 71967987 - 2⁴ = 71967971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71967187) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40908 + ... + 42630.

It is an arithmetic number, because the mean of its divisors is an integer number (2172240).

Almost surely, 2^71967987 is an apocalyptic number.

71967987 is a deficient number, since it is larger than the sum of its proper divisors (67055373).

71967987 is a wasteful number, since it uses less digits than its factorization.

71967987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1763 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 54.

The square root of 71967987 is about 8483.3947803930. The cubic root of 71967987 is about 415.9550983187.

The spelling of 71967987 in words is "seventy-one million, nine hundred sixty-seven thousand, nine hundred eighty-seven".