47725200 has 180 divisors, whose sum is σ = 172103568. Its totient is φ = 12700800.

The previous prime is 47725199. The next prime is 47725217. The reversal of 47725200 is 252774.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96955 + ... + 97445.

Almost surely, 2^47725200 is an apocalyptic number.

47725200 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 47725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86051784).

47725200 is an abundant number, since it is smaller than the sum of its proper divisors (124378368).

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

47725200 is a wasteful number, since it uses less digits than its factorization.

47725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 501 counting only the distinct ones).

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

The square root of 47725200 is about 6908.3427824624. The cubic root of 47725200 is about 362.7292564865.

Adding to 47725200 its reverse (252774), we get a palindrome (47977974).

The spelling of 47725200 in words is "forty-seven million, seven hundred twenty-five thousand, two hundred".