45216 has 36 divisors (see below), whose sum is σ = 129402. Its totient is φ = 14976.

The previous prime is 45197. The next prime is 45233. The reversal of 45216 is 61254.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 3600 = 204^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

45216 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210 + ... + 366.

2⁴⁵²¹⁶ 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 45216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64701).

45216 is an abundant number, since it is smaller than the sum of its proper divisors (84186).

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

45216 is a wasteful number, since it uses less digits than its factorization.

45216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 45216 is about 212.6405417600. The cubic root of 45216 is about 35.6257525233.

The spelling of 45216 in words is "forty-five thousand, two hundred sixteen".