71200800 has 432 divisors, whose sum is σ = 292481280. Its totient is φ = 16128000.

The previous prime is 71200793. The next prime is 71200823. The reversal of 71200800 is 800217.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2296785 + ... + 2296815.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 2^71200800 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 71200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

71200800 is an abundant number, since it is smaller than the sum of its proper divisors (221280480).

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

71200800 is a wasteful number, since it uses less digits than its factorization.

71200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 71200800 is about 8438.0566483048. The cubic root of 71200800 is about 414.4717719290.

The spelling of 71200800 in words is "seventy-one million, two hundred thousand, eight hundred".