40752 has 30 divisors (see below), whose sum is σ = 114452. Its totient is φ = 13536.

The previous prime is 40751. The next prime is 40759. The reversal of 40752 is 25704.

It is a happy number.

40752 is nontrivially palindromic in base 15.

40752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40752.

It is not an unprimeable number, because it can be changed into a prime (40751) 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, 3 + ... + 285.

2⁴⁰⁷⁵² 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 40752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57226).

40752 is an abundant number, since it is smaller than the sum of its proper divisors (73700).

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

40752 is a wasteful number, since it uses less digits than its factorization.

40752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 40752 is about 201.8712460951. The cubic root of 40752 is about 34.4125067198.

The spelling of 40752 in words is "forty thousand, seven hundred fifty-two".