71544168 has 64 divisors (see below), whose sum is σ = 207388800. Its totient is φ = 22809600.

The previous prime is 71544133. The next prime is 71544169. The reversal of 71544168 is 86144517.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71544169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2233 + ... + 12168.

It is an arithmetic number, because the mean of its divisors is an integer number (3240450).

Almost surely, 2^71544168 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 71544168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103694400).

71544168 is an abundant number, since it is smaller than the sum of its proper divisors (135844632).

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

71544168 is a wasteful number, since it uses less digits than its factorization.

71544168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14439 (or 14429 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 71544168 is about 8458.3785680235. The cubic root of 71544168 is about 415.1369712872.

The spelling of 71544168 in words is "seventy-one million, five hundred forty-four thousand, one hundred sixty-eight".