71427168 has 72 divisors (see below), whose sum is σ = 208641888. Its totient is φ = 23162112.

The previous prime is 71427151. The next prime is 71427179. The reversal of 71427168 is 86172417.

71427168 is a `hidden beast` number, since 71 + 427 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7305 + ... + 14007.

It is an arithmetic number, because the mean of its divisors is an integer number (2897804).

Almost surely, 2^71427168 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 71427168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104320944).

71427168 is an abundant number, since it is smaller than the sum of its proper divisors (137214720).

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

71427168 is a wasteful number, since it uses less digits than its factorization.

71427168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6745 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 71427168 is about 8451.4595189233. The cubic root of 71427168 is about 414.9105492600.

The spelling of 71427168 in words is "seventy-one million, four hundred twenty-seven thousand, one hundred sixty-eight".