47572200 has 288 divisors, whose sum is σ = 182800800. Its totient is φ = 10990080.

The previous prime is 47572199. The next prime is 47572207. The reversal of 47572200 is 227574.

It is a super-2 number, since 2×47572200² = 4526228425680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47572207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 444547 + ... + 444653.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 2^47572200 is an apocalyptic number.

47572200 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 47572200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

47572200 is an abundant number, since it is smaller than the sum of its proper divisors (135228600).

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

47572200 is a wasteful number, since it uses less digits than its factorization.

47572200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 47572200 is about 6897.2603256655. The cubic root of 47572200 is about 362.3412225771.

Adding to 47572200 its reverse (227574), we get a palindrome (47799774).

The spelling of 47572200 in words is "forty-seven million, five hundred seventy-two thousand, two hundred".