71068800 has 192 divisors, whose sum is σ = 255742560. Its totient is φ = 17203200.

The previous prime is 71068793. The next prime is 71068849. The reversal of 71068800 is 886017.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105264 + ... + 105936.

Almost surely, 2^71068800 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 71068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127871280).

71068800 is an abundant number, since it is smaller than the sum of its proper divisors (184673760).

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

71068800 is a wasteful number, since it uses less digits than its factorization.

71068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 71068800 is about 8430.2313135524. The cubic root of 71068800 is about 414.2154821209.

The spelling of 71068800 in words is "seventy-one million, sixty-eight thousand, eight hundred".