71164800 has 288 divisors, whose sum is σ = 291030480. Its totient is φ = 16220160.

The previous prime is 71164799. The next prime is 71164867. The reversal of 71164800 is 846117.

It is a happy number.

71164800 is a `hidden beast` number, since 7 + 11 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201424 + ... + 201776.

Almost surely, 2^71164800 is an apocalyptic number.

71164800 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 71164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145515240).

71164800 is an abundant number, since it is smaller than the sum of its proper divisors (219865680).

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

71164800 is a wasteful number, since it uses less digits than its factorization.

71164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71164800 is about 8435.9231859945. The cubic root of 71164800 is about 414.4019061445.

The spelling of 71164800 in words is "seventy-one million, one hundred sixty-four thousand, eight hundred".