39372 has 24 divisors (see below), whose sum is σ = 97776. Its totient is φ = 12288.

The previous prime is 39371. The next prime is 39373. The reversal of 39372 is 27393.

39372 is nontrivially palindromic in base 9.

39372 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39371) and next prime (39373).

It is a d-powerful number, because it can be written as **3**^{3} + **9** + **3**^{8} + **7** + **2**^{15} .

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 39372.

It is not an unprimeable number, because it can be changed into a prime (39371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (4074).

39372 is a Friedman number, since it can be written as (3+9*3^7)*2, using all its digits and the basic arithmetic operations.

2^{39372} 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 39372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48888).

39372 is an abundant number, since it is smaller than the sum of its proper divisors (58404).

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

39372 is a wasteful number, since it uses less digits than its factorization.

39372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its digits is 1134, while the sum is 24.

The square root of 39372 is about 198.4237888964. The cubic root of 39372 is about 34.0195965461.

It can be divided in two parts, 393 and 72, that added together give a triangular number (465 = T_{30}).

The spelling of 39372 in words is "thirty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 193 204 386 579 772 1158 2316 3281 6562 9843 13124 19686 39372

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