71066112 has 80 divisors (see below), whose sum is σ = 203945280. Its totient is φ = 21860352.

The previous prime is 71066087. The next prime is 71066117. The reversal of 71066112 is 21166017.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (71066117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18189 + ... + 21747.

It is an arithmetic number, because the mean of its divisors is an integer number (2549316).

Almost surely, 2^71066112 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 71066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101972640).

71066112 is an abundant number, since it is smaller than the sum of its proper divisors (132879168).

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

71066112 is a wasteful number, since it uses less digits than its factorization.

71066112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 71066112 is about 8430.0718858145. The cubic root of 71066112 is about 414.2102598327.

The spelling of 71066112 in words is "seventy-one million, sixty-six thousand, one hundred twelve".