45576 has 32 divisors (see below), whose sum is σ = 127200. Its totient is φ = 15120.

The previous prime is 45569. The next prime is 45587. The reversal of 45576 is 67554.

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

It is an Ulam number.

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (3975).

2⁴⁵⁵⁷⁶ 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 45576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63600).

45576 is an abundant number, since it is smaller than the sum of its proper divisors (81624).

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

45576 is a wasteful number, since it uses less digits than its factorization.

45576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 45576 is about 213.4853624959. The cubic root of 45576 is about 35.7200508788.

The spelling of 45576 in words is "forty-five thousand, five hundred seventy-six".