40272 has 20 divisors (see below), whose sum is σ = 104160. Its totient is φ = 13408.

The previous prime is 40253. The next prime is 40277. The reversal of 40272 is 27204.

40272 is nontrivially palindromic in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40277) 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, 372 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁴⁰²⁷² is an apocalyptic number.

It is an amenable number.

40272 is an abundant number, since it is smaller than the sum of its proper divisors (63888).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080).

40272 is a wasteful number, since it uses less digits than its factorization.

40272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 40272 is about 200.6788479138. The cubic root of 40272 is about 34.2768627944.

Adding to 40272 its reverse (27204), we get a palindrome (67476).

It can be divided in two parts, 402 and 72, that added together give a palindrome (474).

The spelling of 40272 in words is "forty thousand, two hundred seventy-two", and thus it is an iban number.