71995200 has 168 divisors, whose sum is σ = 241511328. Its totient is φ = 18769920.

The previous prime is 71995193. The next prime is 71995223. The reversal of 71995200 is 259917.

It is a congruent number.

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, 254259 + ... + 254541.

Almost surely, 2^71995200 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 71995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120755664).

71995200 is an abundant number, since it is smaller than the sum of its proper divisors (169516128).

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

71995200 is a wasteful number, since it uses less digits than its factorization.

71995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 71995200 is about 8484.9985268119. The cubic root of 71995200 is about 416.0075195879.

The spelling of 71995200 in words is "seventy-one million, nine hundred ninety-five thousand, two hundred".