47872944 has 120 divisors (see below), whose sum is σ = 158878720. Its totient is φ = 13670208.

The previous prime is 47872943. The next prime is 47872967. The reversal of 47872944 is 44927874.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 47872944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47872943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26337 + ... + 28095.

Almost surely, 2^47872944 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 47872944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79439360).

47872944 is an abundant number, since it is smaller than the sum of its proper divisors (111005776).

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

47872944 is a wasteful number, since it uses less digits than its factorization.

47872944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1771 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 47872944 is about 6919.0276773547. The cubic root of 47872944 is about 363.1031740056.

The spelling of 47872944 in words is "forty-seven million, eight hundred seventy-two thousand, nine hundred forty-four".