71668800 has 420 divisors, whose sum is σ = 304881280. Its totient is φ = 16174080.

The previous prime is 71668799. The next prime is 71668801. The reversal of 71668800 is 886617.

It is an interprime number because it is at equal distance from previous prime (71668799) and next prime (71668801).

It is a tau number, because it is divible by the number of its divisors (420).

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 (71668801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 907161 + ... + 907239.

Almost surely, 2^71668800 is an apocalyptic number.

71668800 is a gapful number since it is divisible by the number (70) 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 71668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152440640).

71668800 is an abundant number, since it is smaller than the sum of its proper divisors (233212480).

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

71668800 is a wasteful number, since it uses less digits than its factorization.

71668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 71668800 is about 8465.7427317395. The cubic root of 71668800 is about 415.3778916291.

The spelling of 71668800 in words is "seventy-one million, six hundred sixty-eight thousand, eight hundred".