47573200 has 60 divisors (see below), whose sum is σ = 119287008. Its totient is φ = 18198400.

The previous prime is 47573143. The next prime is 47573209. The reversal of 47573200 is 237574.

47573200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47573209) 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, 6615 + ... + 11785.

Almost surely, 2^47573200 is an apocalyptic number.

47573200 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 47573200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59643504).

47573200 is an abundant number, since it is smaller than the sum of its proper divisors (71713808).

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

47573200 is a wasteful number, since it uses less digits than its factorization.

47573200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 47573200 is about 6897.3328178362. The cubic root of 47573200 is about 362.3437614457.

The spelling of 47573200 in words is "forty-seven million, five hundred seventy-three thousand, two hundred".