40032 has 36 divisors (see below), whose sum is σ = 114660. Its totient is φ = 13248.

The previous prime is 40031. The next prime is 40037. The reversal of 40032 is 23004.

40032 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

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

It is a super-2 number, since 2×40032² = 3205122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 39996 and 40023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 219 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (3185).

2⁴⁰⁰³² 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 40032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330).

40032 is an abundant number, since it is smaller than the sum of its proper divisors (74628).

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

40032 is a wasteful number, since it uses less digits than its factorization.

40032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 40032 is about 200.0799840064. The cubic root of 40032 is about 34.2086363744.

Adding to 40032 its reverse (23004), we get a palindrome (63036).

It can be divided in two parts, 4003 and 2, that added together give a triangular number (4005 = T₈₉).

The spelling of 40032 in words is "forty thousand, thirty-two", and thus it is an eban number.