71391200 has 72 divisors (see below), whose sum is σ = 175488768. Its totient is φ = 28359680.

The previous prime is 71391193. The next prime is 71391251. The reversal of 71391200 is 219317.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186209 + ... + 186591.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^71391200 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 71391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

71391200 is an abundant number, since it is smaller than the sum of its proper divisors (104097568).

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

71391200 is a wasteful number, since it uses less digits than its factorization.

71391200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 71391200 is about 8449.3313344903. The cubic root of 71391200 is about 414.8408931860.

The spelling of 71391200 in words is "seventy-one million, three hundred ninety-one thousand, two hundred".