47647872 has 128 divisors (see below), whose sum is σ = 149083200. Its totient is φ = 14929920.

The previous prime is 47647867. The next prime is 47647879. The reversal of 47647872 is 27874674.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×47647872² = 4540639412256768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47647879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58347 + ... + 59157.

Almost surely, 2^47647872 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 47647872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74541600).

47647872 is an abundant number, since it is smaller than the sum of its proper divisors (101435328).

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

47647872 is a wasteful number, since it uses less digits than its factorization.

47647872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 833 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 47647872 is about 6902.7438022862. The cubic root of 47647872 is about 362.5332434039.

The spelling of 47647872 in words is "forty-seven million, six hundred forty-seven thousand, eight hundred seventy-two".