48762 has 40 divisors (see below), whose sum is σ = 127776. Its totient is φ = 13608.

The previous prime is 48761. The next prime is 48767. The reversal of 48762 is 26784.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2688) is a multiple of the sum of its prime factors (64).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1113 + ... + 1155.

2⁴⁸⁷⁶² is an apocalyptic number.

48762 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63888).

48762 is an abundant number, since it is smaller than the sum of its proper divisors (79014).

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

48762 is a wasteful number, since it uses less digits than its factorization.

With its successor (48763) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (55).

48762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 48762 is about 220.8211946349. The cubic root of 48762 is about 36.5337150166.

The spelling of 48762 in words is "forty-eight thousand, seven hundred sixty-two".