47072116 has 48 divisors (see below), whose sum is σ = 107364096. Its totient is φ = 17524224.

The previous prime is 47072111. The next prime is 47072119. The reversal of 47072116 is 61127074.

47072116 = 569² + 570² + ... + 687².

47072116 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47072111) 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 15 ways as a sum of consecutive naturals, for example, 2385 + ... + 9991.

It is an arithmetic number, because the mean of its divisors is an integer number (2236752).

Almost surely, 2^47072116 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 47072116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53682048).

47072116 is an abundant number, since it is smaller than the sum of its proper divisors (60291980).

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

47072116 is a wasteful number, since it uses less digits than its factorization.

47072116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 47072116 is about 6860.9121842507. The cubic root of 47072116 is about 361.0670910672.

The spelling of 47072116 in words is "forty-seven million, seventy-two thousand, one hundred sixteen".