71591268 has 48 divisors (see below), whose sum is σ = 192334464. Its totient is φ = 20302080.

The previous prime is 71591257. The next prime is 71591279. The reversal of 71591268 is 86219517.

It is an interprime number because it is at equal distance from previous prime (71591257) and next prime (71591279).

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, 8398 + ... + 14618.

It is an arithmetic number, because the mean of its divisors is an integer number (4006968).

Almost surely, 2^71591268 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 71591268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96167232).

71591268 is an abundant number, since it is smaller than the sum of its proper divisors (120743196).

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

71591268 is a wasteful number, since it uses less digits than its factorization.

71591268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 6370 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 71591268 is about 8461.1623315003. The cubic root of 71591268 is about 415.2280509781.

The spelling of 71591268 in words is "seventy-one million, five hundred ninety-one thousand, two hundred sixty-eight".