71986144 has 24 divisors (see below), whose sum is σ = 142241400. Its totient is φ = 35861376.

The previous prime is 71986141. The next prime is 71986147. The reversal of 71986144 is 44168917.

It is an interprime number because it is at equal distance from previous prime (71986141) and next prime (71986147).

It is a junction number, because it is equal to n+sod(n) for n = 71986097 and 71986106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71986141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5082 + ... + 13030.

It is an arithmetic number, because the mean of its divisors is an integer number (5926725).

Almost surely, 2^71986144 is an apocalyptic number.

It is an amenable number.

71986144 is a deficient number, since it is larger than the sum of its proper divisors (70255256).

71986144 is a wasteful number, since it uses less digits than its factorization.

71986144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242 (or 8234 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 71986144 is about 8484.4648623234. The cubic root of 71986144 is about 415.9900761932.

The spelling of 71986144 in words is "seventy-one million, nine hundred eighty-six thousand, one hundred forty-four".