71264160 has 216 divisors, whose sum is σ = 267960420. Its totient is φ = 17233920.

The previous prime is 71264111. The next prime is 71264161. The reversal of 71264160 is 6146217.

71264160 is a `hidden beast` number, since 7 + 12 + 641 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 2108304 = 8316^2 + 1452^2 .

It is not an unprimeable number, because it can be changed into a prime (71264161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174036 + ... + 174444.

Almost surely, 2^71264160 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 71264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133980210).

71264160 is an abundant number, since it is smaller than the sum of its proper divisors (196696260).

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

71264160 is a wasteful number, since it uses less digits than its factorization.

71264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71264160 is about 8441.8102324087. The cubic root of 71264160 is about 414.5946785332.

The spelling of 71264160 in words is "seventy-one million, two hundred sixty-four thousand, one hundred sixty".