47106672 has 80 divisors (see below), whose sum is σ = 128979840. Its totient is φ = 14789376.

The previous prime is 47106671. The next prime is 47106679. The reversal of 47106672 is 27660174.

47106672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47106671) 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, 59463 + ... + 60249.

It is an arithmetic number, because the mean of its divisors is an integer number (1612248).

Almost surely, 2^47106672 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 47106672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64489920).

47106672 is an abundant number, since it is smaller than the sum of its proper divisors (81873168).

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

47106672 is a wasteful number, since it uses less digits than its factorization.

47106672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 47106672 is about 6863.4300462670. The cubic root of 47106672 is about 361.1554234922.

The spelling of 47106672 in words is "forty-seven million, one hundred six thousand, six hundred seventy-two".