71271664 has 40 divisors (see below), whose sum is σ = 144803232. Its totient is φ = 33918720.

The previous prime is 71271661. The next prime is 71271677. The reversal of 71271664 is 46617217.

It is a happy number.

It is a super-4 number, since 4×71271664⁴ (a number of 33 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71271661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107494 + ... + 108154.

Almost surely, 2^71271664 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 71271664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72401616).

71271664 is an abundant number, since it is smaller than the sum of its proper divisors (73531568).

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

71271664 is a wasteful number, since it uses less digits than its factorization.

71271664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 979 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 71271664 is about 8442.2546751445. The cubic root of 71271664 is about 414.6092300707.

The spelling of 71271664 in words is "seventy-one million, two hundred seventy-one thousand, six hundred sixty-four".