48732 has 24 divisors (see below), whose sum is σ = 118272. Its totient is φ = 15600.

The previous prime is 48731. The next prime is 48733. The reversal of 48732 is 23784.

It is an interprime number because it is at equal distance from previous prime (48731) and next prime (48733).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (4928).

2⁴⁸⁷³² is an apocalyptic number.

It is an amenable number.

48732 is an abundant number, since it is smaller than the sum of its proper divisors (69540).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136).

48732 is a wasteful number, since it uses less digits than its factorization.

48732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 48732 is about 220.7532559216. The cubic root of 48732 is about 36.5262212285.

It can be divided in two parts, 48 and 732, that added together give a triangular number (780 = T₃₉).

The spelling of 48732 in words is "forty-eight thousand, seven hundred thirty-two".