40672 has 24 divisors (see below), whose sum is σ = 84672. Its totient is φ = 19200.

The previous prime is 40639. The next prime is 40693. The reversal of 40672 is 27604.

40672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40672³ = 201840280633344, which contains 333 as substring.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

40672 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 3 ways as a sum of consecutive naturals, for example, 972 + ... + 1012.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2⁴⁰⁶⁷² 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 40672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336).

40672 is an abundant number, since it is smaller than the sum of its proper divisors (44000).

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

40672 is a wasteful number, since it uses less digits than its factorization.

40672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 40672 is about 201.6730026553. The cubic root of 40672 is about 34.3899736419.

The spelling of 40672 in words is "forty thousand, six hundred seventy-two".