71166060 has 192 divisors, whose sum is σ = 257725440. Its totient is φ = 15966720.

The previous prime is 71166041. The next prime is 71166079. The reversal of 71166060 is 6066117.

It is an interprime number because it is at equal distance from previous prime (71166041) and next prime (71166079).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253120 + ... + 253400.

It is an arithmetic number, because the mean of its divisors is an integer number (1342320).

Almost surely, 2^71166060 is an apocalyptic number.

71166060 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71166060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128862720).

71166060 is an abundant number, since it is smaller than the sum of its proper divisors (186559380).

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

71166060 is a wasteful number, since it uses less digits than its factorization.

71166060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 71166060 is about 8435.9978662871. The cubic root of 71166060 is about 414.4043518448.

The spelling of 71166060 in words is "seventy-one million, one hundred sixty-six thousand, sixty".