47712224 has 48 divisors (see below), whose sum is σ = 110831616. Its totient is φ = 19785600.

The previous prime is 47712209. The next prime is 47712227. The reversal of 47712224 is 42221774.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47712227) 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 7 ways as a sum of consecutive naturals, for example, 3509 + ... + 10379.

It is an arithmetic number, because the mean of its divisors is an integer number (2308992).

Almost surely, 2^47712224 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 47712224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55415808).

47712224 is an abundant number, since it is smaller than the sum of its proper divisors (63119392).

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

47712224 is a wasteful number, since it uses less digits than its factorization.

47712224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6911 counting only the distinct ones).

The product of its digits is 6272, while the sum is 29.

The square root of 47712224 is about 6907.4035642924. The cubic root of 47712224 is about 362.6963793659.

Adding to 47712224 its reverse (42221774), we get a palindrome (89933998).

The spelling of 47712224 in words is "forty-seven million, seven hundred twelve thousand, two hundred twenty-four".