71707920 has 80 divisors (see below), whose sum is σ = 223110720. Its totient is φ = 19052032.

The previous prime is 71707913. The next prime is 71707943. The reversal of 71707920 is 2970717.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 121867 + ... + 122453.

It is an arithmetic number, because the mean of its divisors is an integer number (2788884).

Almost surely, 2^71707920 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 71707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111555360).

71707920 is an abundant number, since it is smaller than the sum of its proper divisors (151402800).

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

71707920 is a wasteful number, since it uses less digits than its factorization.

71707920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 71707920 is about 8468.0529048891. The cubic root of 71707920 is about 415.4534550887.

It can be divided in two parts, 71707 and 920, that added together give a palindrome (72627).

The spelling of 71707920 in words is "seventy-one million, seven hundred seven thousand, nine hundred twenty".