45724 has 24 divisors (see below), whose sum is σ = 96768. Its totient is φ = 18480.

The previous prime is 45707. The next prime is 45737. The reversal of 45724 is 42754.

45724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45695 and 45704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2⁴⁵⁷²⁴ 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 45724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

45724 is an abundant number, since it is smaller than the sum of its proper divisors (51044).

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

45724 is a wasteful number, since it uses less digits than its factorization.

45724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 45724 is about 213.8317095288. The cubic root of 45724 is about 35.7586739512.

The spelling of 45724 in words is "forty-five thousand, seven hundred twenty-four".