47520 has 96 divisors (see below), whose sum is σ = 181440. Its totient is φ = 11520.

The previous prime is 47513. The next prime is 47521. The reversal of 47520 is 2574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 47493 and 47502.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47520.

It is not an unprimeable number, because it can be changed into a prime (47521) by changing a digit.

47520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 4315 + ... + 4325.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2⁴⁷⁵²⁰ is an apocalyptic number.

47520 is a gapful number since it is divisible by the number (40) 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 47520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

47520 is an abundant number, since it is smaller than the sum of its proper divisors (133920).

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

47520 is a wasteful number, since it uses less digits than its factorization.

47520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 47520 is about 217.9908254950. The cubic root of 47520 is about 36.2208644208.

The spelling of 47520 in words is "forty-seven thousand, five hundred twenty".