71200 has 36 divisors (see below), whose sum is σ = 175770. Its totient is φ = 28160.

The previous prime is 71191. The next prime is 71209. The reversal of 71200 is 217.

It is an interprime number because it is at equal distance from previous prime (71191) and next prime (71209).

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 29584 = 204^2 + 172^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (71209) by changing a digit.

71200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 756 + ... + 844.

2⁷¹²⁰⁰ 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 71200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87885).

71200 is an abundant number, since it is smaller than the sum of its proper divisors (104570).

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

71200 is a wasteful number, since it uses less digits than its factorization.

71200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 71200 is about 266.8332812825. The cubic root of 71200 is about 41.4470219612.

Adding to 71200 its reverse (217), we get a palindrome (71417).

The spelling of 71200 in words is "seventy-one thousand, two hundred", and thus it is an iban number.