71271360 has 224 divisors, whose sum is σ = 257129280. Its totient is φ = 18579456.

The previous prime is 71271359. The next prime is 71271383. The reversal of 71271360 is 6317217.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630664 + ... + 630776.

Almost surely, 2^71271360 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 71271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128564640).

71271360 is an abundant number, since it is smaller than the sum of its proper divisors (185857920).

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

71271360 is a wasteful number, since it uses less digits than its factorization.

71271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 71271360 is about 8442.2366704565. The cubic root of 71271360 is about 414.6086405826.

Adding to 71271360 its reverse (6317217), we get a palindrome (77588577).

It can be divided in two parts, 71271 and 360, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 71271360 in words is "seventy-one million, two hundred seventy-one thousand, three hundred sixty".