71187168 has 48 divisors (see below), whose sum is σ = 201244176. Its totient is φ = 21903360.

The previous prime is 71187163. The next prime is 71187203. The reversal of 71187168 is 86178117.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×71187168² = 10135225775720448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71187163) 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, 27273 + ... + 29768.

It is an arithmetic number, because the mean of its divisors is an integer number (4192587).

Almost surely, 2^71187168 is an apocalyptic number.

71187168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

71187168 is an abundant number, since it is smaller than the sum of its proper divisors (130057008).

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

71187168 is a wasteful number, since it uses less digits than its factorization.

71187168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57067 (or 57059 counting only the distinct ones).

The product of its digits is 18816, while the sum is 39.

The square root of 71187168 is about 8437.2488407063. The cubic root of 71187168 is about 414.4453188562.

The spelling of 71187168 in words is "seventy-one million, one hundred eighty-seven thousand, one hundred sixty-eight".