47927200 has 72 divisors (see below), whose sum is σ = 118117440. Its totient is φ = 18988800.

The previous prime is 47927189. The next prime is 47927213. The reversal of 47927200 is 272974.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110985 + ... + 111415.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^47927200 is an apocalyptic number.

47927200 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 47927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59058720).

47927200 is an abundant number, since it is smaller than the sum of its proper divisors (70190240).

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

47927200 is a wasteful number, since it uses less digits than its factorization.

47927200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 47927200 is about 6922.9473492148. The cubic root of 47927200 is about 363.2402945196.

The spelling of 47927200 in words is "forty-seven million, nine hundred twenty-seven thousand, two hundred".