71866368 has 144 divisors (see below), whose sum is σ = 237641040. Its totient is φ = 20496384.

The previous prime is 71866351. The next prime is 71866369. The reversal of 71866368 is 86366817.

71866368 is a `hidden beast` number, since 7 + 1 + 8 + 6 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×71866368² = 10329549699022848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71866369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128746 + ... + 129302.

It is an arithmetic number, because the mean of its divisors is an integer number (1650285).

Almost surely, 2^71866368 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 71866368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118820520).

71866368 is an abundant number, since it is smaller than the sum of its proper divisors (165774672).

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

71866368 is a wasteful number, since it uses less digits than its factorization.

71866368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 569 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 71866368 is about 8477.4033760344. The cubic root of 71866368 is about 415.7592295112.

The spelling of 71866368 in words is "seventy-one million, eight hundred sixty-six thousand, three hundred sixty-eight".