45276 has 48 divisors (see below), whose sum is σ = 134400. Its totient is φ = 11760.

The previous prime is 45263. The next prime is 45281. The reversal of 45276 is 67254.

It is a happy number.

45276 is nontrivially palindromic in base 9.

45276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4111 + ... + 4121.

It is an arithmetic number, because the mean of its divisors is an integer number (2800).

2⁴⁵²⁷⁶ 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 45276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67200).

45276 is an abundant number, since it is smaller than the sum of its proper divisors (89124).

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

45276 is a wasteful number, since it uses less digits than its factorization.

45276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 23 counting only the distinct ones).

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

The square root of 45276 is about 212.7815781500. The cubic root of 45276 is about 35.6415035876.

It can be divided in two parts, 452 and 76, that added together give a triangular number (528 = T₃₂).

The spelling of 45276 in words is "forty-five thousand, two hundred seventy-six".