48756 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 15232.

The previous prime is 48751. The next prime is 48757. The reversal of 48756 is 65784.

48756 = T₃₃ + T₃₄ + ... + T₆₈.

It is a happy number.

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 48756.

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

48756 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 7 ways as a sum of consecutive naturals, for example, 85 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

48756 is a Friedman number, since it can be written as 6+78*5^4, using all its digits and the basic arithmetic operations.

2⁴⁸⁷⁵⁶ 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 48756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

48756 is an abundant number, since it is smaller than the sum of its proper divisors (72204).

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

48756 is a wasteful number, since it uses less digits than its factorization.

48756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 48756 is about 220.8076085646. The cubic root of 48756 is about 36.5322165050.

It can be divided in two parts, 487 and 56, that multiplied together give a palindrome (27272).

The spelling of 48756 in words is "forty-eight thousand, seven hundred fifty-six".