71057200 has 60 divisors (see below), whose sum is σ = 171526968. Its totient is φ = 28288000.

The previous prime is 71057197. The next prime is 71057201. The reversal of 71057200 is 275017.

It is not an unprimeable number, because it can be changed into a prime (71057201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160179 + ... + 160621.

Almost surely, 2^71057200 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 71057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85763484).

71057200 is an abundant number, since it is smaller than the sum of its proper divisors (100469768).

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

71057200 is a wasteful number, since it uses less digits than its factorization.

71057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 71057200 is about 8429.5432853744. The cubic root of 71057200 is about 414.1929445186.

The spelling of 71057200 in words is "seventy-one million, fifty-seven thousand, two hundred".