39972 has 12 divisors (see below), whose sum is σ = 93296. Its totient is φ = 13320.

The previous prime is 39971. The next prime is 39979. The reversal of 39972 is 27993.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (39971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1654 + ... + 1677.

2³⁹⁹⁷² is an apocalyptic number.

It is an amenable number.

39972 is an abundant number, since it is smaller than the sum of its proper divisors (53324).

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 (46648).

39972 is a wasteful number, since it uses less digits than its factorization.

39972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3336 counting only the distinct ones).

The product of its digits is 3402, while the sum is 30.

The square root of 39972 is about 199.9299877457. The cubic root of 39972 is about 34.1915371831.

The spelling of 39972 in words is "thirty-nine thousand, nine hundred seventy-two".