71135680 has 112 divisors (see below), whose sum is σ = 211262976. Its totient is φ = 22164480.

The previous prime is 71135657. The next prime is 71135683. The reversal of 71135680 is 8653117.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71135683) 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, 23197 + ... + 26083.

Almost surely, 2^71135680 is an apocalyptic number.

71135680 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 71135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105631488).

71135680 is an abundant number, since it is smaller than the sum of its proper divisors (140127296).

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

71135680 is a wasteful number, since it uses less digits than its factorization.

71135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 71135680 is about 8434.1970572189. The cubic root of 71135680 is about 414.3453752480.

Adding to 71135680 its reverse (8653117), we get a palindrome (79788797).

The spelling of 71135680 in words is "seventy-one million, one hundred thirty-five thousand, six hundred eighty".