71031168 has 320 divisors, whose sum is σ = 248814720. Its totient is φ = 19906560.

The previous prime is 71031161. The next prime is 71031193. The reversal of 71031168 is 86113017.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71031161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2291313 + ... + 2291343.

It is an arithmetic number, because the mean of its divisors is an integer number (777546).

Almost surely, 2^71031168 is an apocalyptic number.

71031168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71031168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124407360).

71031168 is an abundant number, since it is smaller than the sum of its proper divisors (177783552).

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

71031168 is a wasteful number, since it uses less digits than its factorization.

71031168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 71031168 is about 8427.9990507831. Note that the first 3 decimals coincide. The cubic root of 71031168 is about 414.1423581005.

It can be divided in two parts, 710 and 31168, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 71031168 in words is "seventy-one million, thirty-one thousand, one hundred sixty-eight".