71859840 has 128 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 17682432.

The previous prime is 71859791. The next prime is 71859871. The reversal of 71859840 is 4895817.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 71859792 and 71859801.

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, 23521 + ... + 26399.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^71859840 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 71859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

71859840 is an abundant number, since it is smaller than the sum of its proper divisors (174898560).

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

71859840 is a wasteful number, since it uses less digits than its factorization.

71859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 71859840 is about 8477.0183437338. The cubic root of 71859840 is about 415.7466405979.

The spelling of 71859840 in words is "seventy-one million, eight hundred fifty-nine thousand, eight hundred forty".