71595872 has 48 divisors (see below), whose sum is σ = 148871520. Its totient is φ = 33825792.

The previous prime is 71595829. The next prime is 71595889. The reversal of 71595872 is 27859517.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64958 + ... + 66050.

It is an arithmetic number, because the mean of its divisors is an integer number (3101490).

Almost surely, 2^71595872 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 71595872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74435760).

71595872 is an abundant number, since it is smaller than the sum of its proper divisors (77275648).

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

71595872 is a wasteful number, since it uses less digits than its factorization.

71595872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1207 counting only the distinct ones).

The product of its digits is 176400, while the sum is 44.

The square root of 71595872 is about 8461.4343937656. The cubic root of 71595872 is about 415.2369518260.

It can be divided in two parts, 7159 and 5872, that added together give a palindrome (13031).

The spelling of 71595872 in words is "seventy-one million, five hundred ninety-five thousand, eight hundred seventy-two".