71066916 has 96 divisors (see below), whose sum is σ = 197568000. Its totient is φ = 22024224.

The previous prime is 71066909. The next prime is 71066959. The reversal of 71066916 is 61966017.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120775 + ... + 121361.

It is an arithmetic number, because the mean of its divisors is an integer number (2058000).

Almost surely, 2^71066916 is an apocalyptic number.

71066916 is a gapful number since it is divisible by the number (76) 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 71066916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98784000).

71066916 is an abundant number, since it is smaller than the sum of its proper divisors (126501084).

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

71066916 is a wasteful number, since it uses less digits than its factorization.

71066916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 71066916 is about 8430.1195721057. The cubic root of 71066916 is about 414.2118218702.

The spelling of 71066916 in words is "seventy-one million, sixty-six thousand, nine hundred sixteen".