48720 has 80 divisors (see below), whose sum is σ = 178560. Its totient is φ = 10752.

The previous prime is 48679. The next prime is 48731. The reversal of 48720 is 2784.

It is a happy number.

48720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

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 48720.

It is an unprimeable number.

48720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666 + ... + 1694.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

2⁴⁸⁷²⁰ is an apocalyptic number.

48720 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 48720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

48720 is an abundant number, since it is smaller than the sum of its proper divisors (129840).

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

48720 is a wasteful number, since it uses less digits than its factorization.

48720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 48720 is about 220.7260745811. The cubic root of 48720 is about 36.5232228521.

The spelling of 48720 in words is "forty-eight thousand, seven hundred twenty".