123732 has 36 divisors (see below), whose sum is σ = 358176. Its totient is φ = 35280.

The previous prime is 123731. The next prime is 123733. The reversal of 123732 is 237321.

It is an interprime number because it is at equal distance from previous prime (123731) and next prime (123733).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7 + ... + 497.

2¹²³⁷³² is an apocalyptic number.

123732 is a gapful number since it is divisible by the number (12) 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 123732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179088).

123732 is an abundant number, since it is smaller than the sum of its proper divisors (234444).

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

123732 is a wasteful number, since it uses less digits than its factorization.

123732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 503 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 123732 is about 351.7555969704. The cubic root of 123732 is about 49.8303584189.

The spelling of 123732 in words is "one hundred twenty-three thousand, seven hundred thirty-two".