47919872 has 216 divisors, whose sum is σ = 137013408. Its totient is φ = 16220160.

The previous prime is 47919871. The next prime is 47919917. The reversal of 47919872 is 27891974.

It is not an unprimeable number, because it can be changed into a prime (47919871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2818808 + ... + 2818824.

Almost surely, 2^47919872 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 47919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68506704).

47919872 is an abundant number, since it is smaller than the sum of its proper divisors (89093536).

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

47919872 is a wasteful number, since it uses less digits than its factorization.

47919872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its digits is 254016, while the sum is 47.

The square root of 47919872 is about 6922.4180746326. The cubic root of 47919872 is about 363.2217806030.

It can be divided in two parts, 47 and 919872, that added together give a palindrome (919919).

The spelling of 47919872 in words is "forty-seven million, nine hundred nineteen thousand, eight hundred seventy-two".