71066880 has 216 divisors, whose sum is σ = 255091200. Its totient is φ = 18247680.

The previous prime is 71066839. The next prime is 71066881. The reversal of 71066880 is 8866017.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71066881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357021 + ... + 357219.

Almost surely, 2^71066880 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 71066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127545600).

71066880 is an abundant number, since it is smaller than the sum of its proper divisors (184024320).

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

71066880 is a wasteful number, since it uses less digits than its factorization.

71066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

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

The square root of 71066880 is about 8430.1174369044. The cubic root of 71066880 is about 414.2117519285.

The spelling of 71066880 in words is "seventy-one million, sixty-six thousand, eight hundred eighty".