71167680 has 112 divisors (see below), whose sum is σ = 251094240. Its totient is φ = 18975744.

The previous prime is 71167667. The next prime is 71167697. The reversal of 71167680 is 8676117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4522 + ... + 12758.

Almost surely, 2^71167680 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 71167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125547120).

71167680 is an abundant number, since it is smaller than the sum of its proper divisors (179926560).

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

71167680 is a wasteful number, since it uses less digits than its factorization.

71167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8263 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71167680 is about 8436.0938828346. The cubic root of 71167680 is about 414.4074962742.

The spelling of 71167680 in words is "seventy-one million, one hundred sixty-seven thousand, six hundred eighty".