48752 has 20 divisors (see below), whose sum is σ = 103416. Its totient is φ = 22080.

The previous prime is 48751. The next prime is 48757. The reversal of 48752 is 25784.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

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 48752.

It is not an unprimeable number, because it can be changed into a prime (48751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 314.

48752 is a Friedman number, since it can be written as 78*5^4+2, using all its digits and the basic arithmetic operations.

2⁴⁸⁷⁵² 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 48752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51708).

48752 is an abundant number, since it is smaller than the sum of its proper divisors (54664).

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

48752 is a wasteful number, since it uses less digits than its factorization.

48752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 48752 is about 220.7985507199. The cubic root of 48752 is about 36.5312174289.

The spelling of 48752 in words is "forty-eight thousand, seven hundred fifty-two".