40872 has 32 divisors (see below), whose sum is σ = 110880. Its totient is φ = 12480.

The previous prime is 40867. The next prime is 40879. The reversal of 40872 is 27804.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40872.

It is not an unprimeable number, because it can be changed into a prime (40879) by changing a digit.

40872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (3465).

2⁴⁰⁸⁷² 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 40872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55440).

40872 is an abundant number, since it is smaller than the sum of its proper divisors (70008).

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

40872 is a wasteful number, since it uses less digits than its factorization.

40872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 40872 is about 202.1682467649. The cubic root of 40872 is about 34.4462511096.

The spelling of 40872 in words is "forty thousand, eight hundred seventy-two".