44736 has 28 divisors (see below), whose sum is σ = 118872. Its totient is φ = 14848.

The previous prime is 44729. The next prime is 44741. The reversal of 44736 is 63744.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 76 + ... + 308.

2⁴⁴⁷³⁶ 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 44736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59436).

44736 is an abundant number, since it is smaller than the sum of its proper divisors (74136).

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

44736 is a wasteful number, since it uses less digits than its factorization.

44736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 44736 is about 211.5088650624. The cubic root of 44736 is about 35.4992395526.

It can be divided in two parts, 44 and 736, that added together give a triangular number (780 = T₃₉).

The spelling of 44736 in words is "forty-four thousand, seven hundred thirty-six".