71686080 has 112 divisors (see below), whose sum is σ = 252923040. Its totient is φ = 19113984.

The previous prime is 71686067. The next prime is 71686103. The reversal of 71686080 is 8068617.

It is a super-3 number, since 3×71686080³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 4492 + ... + 12788.

Almost surely, 2^71686080 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 71686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126461520).

71686080 is an abundant number, since it is smaller than the sum of its proper divisors (181236960).

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

71686080 is a wasteful number, since it uses less digits than its factorization.

71686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 71686080 is about 8466.7632540422. The cubic root of 71686080 is about 415.4112727432.

The spelling of 71686080 in words is "seventy-one million, six hundred eighty-six thousand, eighty".