71315664 has 80 divisors (see below), whose sum is σ = 221652480. Its totient is φ = 19301760.

The previous prime is 71315653. The next prime is 71315681. The reversal of 71315664 is 46651317.

It is a super-4 number, since 4×71315664⁴ (a number of 33 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable 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, 799 + ... + 11969.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 2^71315664 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 71315664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

71315664 is an abundant number, since it is smaller than the sum of its proper divisors (150336816).

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

71315664 is a wasteful number, since it uses less digits than its factorization.

71315664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11208 (or 11202 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 71315664 is about 8444.8602119869. The cubic root of 71315664 is about 414.6945330381.

The spelling of 71315664 in words is "seventy-one million, three hundred fifteen thousand, six hundred sixty-four".