71884944 has 120 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 23063040.

The previous prime is 71884937. The next prime is 71884963. The reversal of 71884944 is 44948817.

It is a self number, because there is not a number n which added to its sum of digits gives 71884944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807652 + ... + 807740.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^71884944 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 71884944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

71884944 is an abundant number, since it is smaller than the sum of its proper divisors (137030256).

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

71884944 is a wasteful number, since it uses less digits than its factorization.

71884944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 71884944 is about 8478.4989237482. The cubic root of 71884944 is about 415.7950482042.

The spelling of 71884944 in words is "seventy-one million, eight hundred eighty-four thousand, nine hundred forty-four".