47712 has 48 divisors (see below), whose sum is σ = 145152. Its totient is φ = 13440.

The previous prime is 47711. The next prime is 47713. The reversal of 47712 is 21774.

It is an interprime number because it is at equal distance from previous prime (47711) and next prime (47713).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁴⁷⁷¹² is an apocalyptic number.

47712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

47712 is an abundant number, since it is smaller than the sum of its proper divisors (97440).

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

47712 is a wasteful number, since it uses less digits than its factorization.

47712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 392, while the sum is 21.

The square root of 47712 is about 218.4307670636. The cubic root of 47712 is about 36.2695811768.

The spelling of 47712 in words is "forty-seven thousand, seven hundred twelve", and thus it is an iban number.