48552 has 48 divisors (see below), whose sum is σ = 147360. Its totient is φ = 13056.

The previous prime is 48541. The next prime is 48563. The reversal of 48552 is 25584.

It is an interprime number because it is at equal distance from previous prime (48541) and next prime (48563).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1600) is a multiple of the sum of its prime factors (50).

It is an unprimeable number.

48552 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 11 ways as a sum of consecutive naturals, for example, 2848 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (3070).

2⁴⁸⁵⁵² is an apocalyptic number.

48552 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 48552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73680).

48552 is an abundant number, since it is smaller than the sum of its proper divisors (98808).

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

48552 is a wasteful number, since it uses less digits than its factorization.

48552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 29 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 48552 is about 220.3451837459. The cubic root of 48552 is about 36.4811937898.

The spelling of 48552 in words is "forty-eight thousand, five hundred fifty-two".