71314560 has 128 divisors (see below), whose sum is σ = 252633600. Its totient is φ = 19012608.

The previous prime is 71314549. The next prime is 71314561. The reversal of 71314560 is 6541317.

71314560 is a `hidden beast` number, since 71 + 31 + 4 + 560 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (71314561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15217 + ... + 19343.

It is an arithmetic number, because the mean of its divisors is an integer number (1973700).

Almost surely, 2^71314560 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 71314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126316800).

71314560 is an abundant number, since it is smaller than the sum of its proper divisors (181319040).

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

71314560 is a wasteful number, since it uses less digits than its factorization.

71314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 71314560 is about 8444.7948465312. The cubic root of 71314560 is about 414.6923931383.

Adding to 71314560 its reverse (6541317), we get a palindrome (77855877).

The spelling of 71314560 in words is "seventy-one million, three hundred fourteen thousand, five hundred sixty".