45762 has 16 divisors (see below), whose sum is σ = 95040. Its totient is φ = 14672.

The previous prime is 45757. The next prime is 45763. The reversal of 45762 is 26754.

It is a happy number.

45762 is nontrivially palindromic in base 9.

45762 is an undulating number in base 9.

It is not an unprimeable number, because it can be changed into a prime (45763) by changing a digit.

45762 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, 43 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2⁴⁵⁷⁶² is an apocalyptic number.

45762 is an abundant number, since it is smaller than the sum of its proper divisors (49278).

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 (47520).

45762 is a wasteful number, since it uses less digits than its factorization.

45762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297.

The product of its digits is 1680, while the sum is 24.

The square root of 45762 is about 213.9205459978. The cubic root of 45762 is about 35.7685772358.

The spelling of 45762 in words is "forty-five thousand, seven hundred sixty-two".