71386800 has 240 divisors, whose sum is σ = 250936320. Its totient is φ = 17280000.

The previous prime is 71386793. The next prime is 71386817. The reversal of 71386800 is 868317.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 706750 + ... + 706850.

It is an arithmetic number, because the mean of its divisors is an integer number (1045568).

Almost surely, 2^71386800 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 71386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125468160).

71386800 is an abundant number, since it is smaller than the sum of its proper divisors (179549520).

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

71386800 is a wasteful number, since it uses less digits than its factorization.

71386800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 71386800 is about 8449.0709548447. The cubic root of 71386800 is about 414.8323704856.

The spelling of 71386800 in words is "seventy-one million, three hundred eighty-six thousand, eight hundred".