71064 has 64 divisors (see below), whose sum is σ = 230400. Its totient is φ = 19872.

The previous prime is 71059. The next prime is 71069. The reversal of 71064 is 46017.

It is an interprime number because it is at equal distance from previous prime (71059) and next prime (71069).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71064.

It is not an unprimeable number, because it can be changed into a prime (71069) by changing a digit.

71064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1489 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2⁷¹⁰⁶⁴ 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 71064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

71064 is an abundant number, since it is smaller than the sum of its proper divisors (159336).

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

71064 is a wasteful number, since it uses less digits than its factorization.

71064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71064 is about 266.5783186983. The cubic root of 71064 is about 41.4206156514.

The spelling of 71064 in words is "seventy-one thousand, sixty-four".