71317680 has 80 divisors (see below), whose sum is σ = 252674304. Its totient is φ = 16300800.

The previous prime is 71317663. The next prime is 71317691. The reversal of 71317680 is 8671317.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×71317680² = 10172422961164800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19546 + ... + 22905.

Almost surely, 2^71317680 is an apocalyptic number.

71317680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71317680 is an abundant number, since it is smaller than the sum of its proper divisors (181356624).

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

71317680 is a wasteful number, since it uses less digits than its factorization.

71317680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42474 (or 42468 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 71317680 is about 8444.9795736876. The cubic root of 71317680 is about 414.6984406243.

Adding to 71317680 its reverse (8671317), we get a palindrome (79988997).

The spelling of 71317680 in words is "seventy-one million, three hundred seventeen thousand, six hundred eighty".