47532800 has 108 divisors (see below), whose sum is σ = 134585136. Its totient is φ = 16281600.

The previous prime is 47532791. The next prime is 47532809. The reversal of 47532800 is 823574.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47532791) and next prime (47532809).

It is not an unprimeable number, because it can be changed into a prime (47532809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44270 + ... + 45330.

Almost surely, 2^47532800 is an apocalyptic number.

47532800 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 47532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67292568).

47532800 is an abundant number, since it is smaller than the sum of its proper divisors (87052336).

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

47532800 is a wasteful number, since it uses less digits than its factorization.

47532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 47532800 is about 6894.4035274997. The cubic root of 47532800 is about 362.2411628276.

The spelling of 47532800 in words is "forty-seven million, five hundred thirty-two thousand, eight hundred".