39672 has 48 divisors (see below), whose sum is σ = 117000. Its totient is φ = 12096.

The previous prime is 39671. The next prime is 39679. The reversal of 39672 is 27693.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39672.

It is not an unprimeable number, because it can be changed into a prime (39671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354 + ... + 1382.

2³⁹⁶⁷² 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 39672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58500).

39672 is an abundant number, since it is smaller than the sum of its proper divisors (77328).

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

39672 is a wasteful number, since it uses less digits than its factorization.

39672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 53 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 39672 is about 199.1783120724. The cubic root of 39672 is about 34.1057835697.

It can be divided in two parts, 3967 and 2, that added together give a square (3969 = 63²).

The spelling of 39672 in words is "thirty-nine thousand, six hundred seventy-two".