40712 has 16 divisors (see below), whose sum is σ = 87360. Its totient is φ = 17424.

The previous prime is 40709. The next prime is 40739. The reversal of 40712 is 21704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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, 308 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁴⁰⁷¹² is an apocalyptic number.

It is an amenable number.

40712 is an abundant number, since it is smaller than the sum of its proper divisors (46648).

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 (43680).

40712 is a wasteful number, since it uses less digits than its factorization.

40712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 40712 is about 201.7721487223. The cubic root of 40712 is about 34.4012438707.

40712 divided by its product of nonzero digits (56) gives a palindrome (727).

It can be divided in two parts, 407 and 12, that multiplied together give a palindrome (4884).

The spelling of 40712 in words is "forty thousand, seven hundred twelve", and thus it is an iban number.