71089200 has 540 divisors, whose sum is σ = 319021248. Its totient is φ = 14515200.

The previous prime is 71089199. The next prime is 71089219. The reversal of 71089200 is 298017.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2293185 + ... + 2293215.

Almost surely, 2^71089200 is an apocalyptic number.

71089200 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 71089200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159510624).

71089200 is an abundant number, since it is smaller than the sum of its proper divisors (247932048).

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

71089200 is a wasteful number, since it uses less digits than its factorization.

71089200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 71089200 is about 8431.4411579516. The cubic root of 71089200 is about 414.2551112664.

It can be divided in two parts, 71089 and 200, that added together give a square (71289 = 267²).

The spelling of 71089200 in words is "seventy-one million, eighty-nine thousand, two hundred".