45756 has 36 divisors (see below), whose sum is σ = 122304. Its totient is φ = 14400.

The previous prime is 45751. The next prime is 45757. The reversal of 45756 is 65754.

45756 = T₃ + T₄ + ... + T₆₄.

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

It is a super-2 number, since 2×45756² = 4187223072, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45756.

It is not an unprimeable number, because it can be changed into a prime (45751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1096 + ... + 1136.

2⁴⁵⁷⁵⁶ 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 45756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

45756 is an abundant number, since it is smaller than the sum of its proper divisors (76548).

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

45756 is a wasteful number, since it uses less digits than its factorization.

45756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 77 counting only the distinct ones).

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

The square root of 45756 is about 213.9065216397. The cubic root of 45756 is about 35.7670139238.

The spelling of 45756 in words is "forty-five thousand, seven hundred fifty-six".