45792 has 48 divisors (see below), whose sum is σ = 136080. Its totient is φ = 14976.

The previous prime is 45779. The next prime is 45817. The reversal of 45792 is 29754.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2520) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

45792 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, 838 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2⁴⁵⁷⁹² 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 45792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040).

45792 is an abundant number, since it is smaller than the sum of its proper divisors (90288).

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

45792 is a wasteful number, since it uses less digits than its factorization.

45792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 58 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 45792 is about 213.9906540015. The cubic root of 45792 is about 35.7763917465.

The spelling of 45792 in words is "forty-five thousand, seven hundred ninety-two".