47727900 has 144 divisors (see below), whose sum is σ = 167489280. Its totient is φ = 11563200.

The previous prime is 47727899. The next prime is 47727907. The reversal of 47727900 is 972774.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47727907) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28897 + ... + 30503.

It is an arithmetic number, because the mean of its divisors is an integer number (1163120).

Almost surely, 2^47727900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47727900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83744640).

47727900 is an abundant number, since it is smaller than the sum of its proper divisors (119761380).

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

47727900 is a wasteful number, since it uses less digits than its factorization.

47727900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 47727900 is about 6908.5381955954. The cubic root of 47727900 is about 362.7360966920.

The spelling of 47727900 in words is "forty-seven million, seven hundred twenty-seven thousand, nine hundred".