71870016 has 112 divisors (see below), whose sum is σ = 204313536. Its totient is φ = 22216704.

The previous prime is 71869991. The next prime is 71870023. The reversal of 71870016 is 61007817.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316495 + ... + 316721.

It is an arithmetic number, because the mean of its divisors is an integer number (1824228).

Almost surely, 2^71870016 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 71870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102156768).

71870016 is an abundant number, since it is smaller than the sum of its proper divisors (132443520).

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

71870016 is a wasteful number, since it uses less digits than its factorization.

71870016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 71870016 is about 8477.6185335270. The cubic root of 71870016 is about 415.7662641601.

The spelling of 71870016 in words is "seventy-one million, eight hundred seventy thousand, sixteen".