71106560 has 136 divisors (see below), whose sum is σ = 201325056. Its totient is φ = 23592960.

The previous prime is 71106551. The next prime is 71106577. The reversal of 71106560 is 6560117.

It is a super-2 number, since 2×71106560² = 10112285750067200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293745 + ... + 2293775.

Almost surely, 2^71106560 is an apocalyptic number.

71106560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100662528).

71106560 is an abundant number, since it is smaller than the sum of its proper divisors (130218496).

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

71106560 is an frugal number, since it uses more digits than its factorization.

71106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 71106560 is about 8432.4705751043. The cubic root of 71106560 is about 414.2888289217.

Adding to 71106560 its reverse (6560117), we get a palindrome (77666677).

The spelling of 71106560 in words is "seventy-one million, one hundred six thousand, five hundred sixty".