71463168 has 216 divisors, whose sum is σ = 246996960. Its totient is φ = 20321280.

The previous prime is 71463157. The next prime is 71463187. The reversal of 71463168 is 86136417.

71463168 is a `hidden beast` number, since 7 + 14 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 338583 + ... + 338793.

Almost surely, 2^71463168 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 71463168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123498480).

71463168 is an abundant number, since it is smaller than the sum of its proper divisors (175533792).

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

71463168 is a wasteful number, since it uses less digits than its factorization.

71463168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 71463168 is about 8453.5890602749. The cubic root of 71463168 is about 414.9802438943.

It can be divided in two parts, 71463 and 168, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 71463168 in words is "seventy-one million, four hundred sixty-three thousand, one hundred sixty-eight".