40736 has 24 divisors (see below), whose sum is σ = 85680. Its totient is φ = 19008.

The previous prime is 40709. The next prime is 40739. The reversal of 40736 is 63704.

It is not an unprimeable number, because it can be changed into a prime (40739) by changing a digit.

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, 575 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (3570).

2⁴⁰⁷³⁶ 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 40736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840).

40736 is an abundant number, since it is smaller than the sum of its proper divisors (44944).

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

40736 is a wasteful number, since it uses less digits than its factorization.

40736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 40736 is about 201.8316129847. The cubic root of 40736 is about 34.4080024649.

The spelling of 40736 in words is "forty thousand, seven hundred thirty-six".