45732 has 24 divisors (see below), whose sum is σ = 110656. Its totient is φ = 14688.

The previous prime is 45707. The next prime is 45737. The reversal of 45732 is 23754.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45699 and 45708.

It is not an unprimeable number, because it can be changed into a prime (45737) by changing a digit.

45732 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393 + ... + 495.

2⁴⁵⁷³² is an apocalyptic number.

It is an amenable number.

45732 is an abundant number, since it is smaller than the sum of its proper divisors (64924).

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 (55328).

45732 is a wasteful number, since it uses less digits than its factorization.

45732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 45732 is about 213.8504150101. The cubic root of 45732 is about 35.7607593090.

Adding to 45732 its sum of digits (21), we get a triangular number (45753 = T₃₀₂).

It can be divided in two parts, 45 and 732, that added together give a palindrome (777).

The spelling of 45732 in words is "forty-five thousand, seven hundred thirty-two".