71166180 has 48 divisors (see below), whose sum is σ = 201519360. Its totient is φ = 18763008.

The previous prime is 71166113. The next prime is 71166187. The reversal of 71166180 is 8166117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (71166187) 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, 1324 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (4198320).

Almost surely, 2^71166180 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 71166180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759680).

71166180 is an abundant number, since it is smaller than the sum of its proper divisors (130353180).

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

71166180 is a wasteful number, since it uses less digits than its factorization.

71166180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13428 (or 13426 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 71166180 is about 8436.0049786614. The cubic root of 71166180 is about 414.4045847671.

The spelling of 71166180 in words is "seventy-one million, one hundred sixty-six thousand, one hundred eighty".