71066688 has 336 divisors, whose sum is σ = 259445760. Its totient is φ = 16727040.

The previous prime is 71066687. The next prime is 71066689. The reversal of 71066688 is 88666017.

It is an interprime number because it is at equal distance from previous prime (71066687) and next prime (71066689).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×71066688³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (71066687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3089845 + ... + 3089867.

It is an arithmetic number, because the mean of its divisors is an integer number (772160).

Almost surely, 2^71066688 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 71066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

71066688 is an abundant number, since it is smaller than the sum of its proper divisors (188379072).

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

71066688 is a wasteful number, since it uses less digits than its factorization.

71066688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 71066688 is about 8430.1060491550. The cubic root of 71066688 is about 414.2113789056.

The spelling of 71066688 in words is "seventy-one million, sixty-six thousand, six hundred eighty-eight".