71873984 has 168 divisors, whose sum is σ = 187287408. Its totient is φ = 27095040.

The previous prime is 71873983. The next prime is 71874001. The reversal of 71873984 is 48937817.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71873983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671467 + ... + 1671509.

It is an arithmetic number, because the mean of its divisors is an integer number (1114806).

Almost surely, 2^71873984 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 71873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93643704).

71873984 is an abundant number, since it is smaller than the sum of its proper divisors (115413424).

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

71873984 is a wasteful number, since it uses less digits than its factorization.

71873984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its digits is 338688, while the sum is 47.

The square root of 71873984 is about 8477.8525582838. The cubic root of 71873984 is about 415.7739156132.

The spelling of 71873984 in words is "seventy-one million, eight hundred seventy-three thousand, nine hundred eighty-four".