71666144 has 48 divisors (see below), whose sum is σ = 156083760. Its totient is φ = 32117760.

The previous prime is 71666113. The next prime is 71666159. The reversal of 71666144 is 44166617.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24302 + ... + 27090.

It is an arithmetic number, because the mean of its divisors is an integer number (3251745).

Almost surely, 2^71666144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71666144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78041880).

71666144 is an abundant number, since it is smaller than the sum of its proper divisors (84417616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71666144 is a wasteful number, since it uses less digits than its factorization.

71666144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2875 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 71666144 is about 8465.5858627741. The cubic root of 71666144 is about 415.3727603525.

The spelling of 71666144 in words is "seventy-one million, six hundred sixty-six thousand, one hundred forty-four".