47903072 has 48 divisors (see below), whose sum is σ = 109186560. Its totient is φ = 20262528.

The previous prime is 47903071. The next prime is 47903077. The reversal of 47903072 is 27030974.

It is a happy number.

47903072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47903071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16343 + ... + 19049.

It is an arithmetic number, because the mean of its divisors is an integer number (2274720).

Almost surely, 2^47903072 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 47903072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54593280).

47903072 is an abundant number, since it is smaller than the sum of its proper divisors (61283488).

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

47903072 is a wasteful number, since it uses less digits than its factorization.

47903072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 47903072 is about 6921.2045194460. The cubic root of 47903072 is about 363.1793289095.

The spelling of 47903072 in words is "forty-seven million, nine hundred three thousand, seventy-two".