47200 has 36 divisors (see below), whose sum is σ = 117180. Its totient is φ = 18560.

The previous prime is 47189. The next prime is 47207. The reversal of 47200 is 274.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 771 + ... + 829.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2⁴⁷²⁰⁰ is an apocalyptic number.

47200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58590).

47200 is an abundant number, since it is smaller than the sum of its proper divisors (69980).

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

47200 is a wasteful number, since it uses less digits than its factorization.

47200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 47200 is about 217.2556098240. The cubic root of 47200 is about 36.1393773864.

Adding to 47200 its reverse (274), we get a palindrome (47474).

The spelling of 47200 in words is "forty-seven thousand, two hundred", and thus it is an iban number.