71971284 has 144 divisors (see below), whose sum is σ = 216051584. Its totient is φ = 18247680.

The previous prime is 71971279. The next prime is 71971307. The reversal of 71971284 is 48217917.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741924 + ... + 742020.

Almost surely, 2^71971284 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 71971284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108025792).

71971284 is an abundant number, since it is smaller than the sum of its proper divisors (144080300).

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

71971284 is a wasteful number, since it uses less digits than its factorization.

71971284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 71971284 is about 8483.5890989604. The cubic root of 71971284 is about 415.9614501383.

The spelling of 71971284 in words is "seventy-one million, nine hundred seventy-one thousand, two hundred eighty-four".