47071200 has 144 divisors (see below), whose sum is σ = 167239296. Its totient is φ = 11404800.

The previous prime is 47071187. The next prime is 47071201. The reversal of 47071200 is 217074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47071201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25509 + ... + 27291.

It is an arithmetic number, because the mean of its divisors is an integer number (1161384).

Almost surely, 2^47071200 is an apocalyptic number.

47071200 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 47071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83619648).

47071200 is an abundant number, since it is smaller than the sum of its proper divisors (120168096).

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

47071200 is a wasteful number, since it uses less digits than its factorization.

47071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 47071200 is about 6860.8454289541. The cubic root of 47071200 is about 361.0647489899.

Adding to 47071200 its reverse (217074), we get a palindrome (47288274).

The spelling of 47071200 in words is "forty-seven million, seventy-one thousand, two hundred".