71568 has 60 divisors (see below), whose sum is σ = 232128. Its totient is φ = 20160.

The previous prime is 71563. The next prime is 71569. The reversal of 71568 is 86517.

It is not an unprimeable number, because it can be changed into a prime (71563) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 973 + ... + 1043.

2^{71568} 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 71568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064).

71568 is an abundant number, since it is smaller than the sum of its proper divisors (160560).

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

71568 is a wasteful number, since it uses less digits than its factorization.

71568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 71568 is about 267.5219617153. The cubic root of 71568 is about 41.5183061445.

The spelling of 71568 in words is "seventy-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1988 2556 2982 3408 3976 4473 5112 5964 7952 8946 10224 11928 17892 23856 35784 71568

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