39272 has 8 divisors (see below), whose sum is σ = 73650. Its totient is φ = 19632.

The previous prime is 39251. The next prime is 39293. The reversal of 39272 is 27293.

It is an interprime number because it is at equal distance from previous prime (39251) and next prime (39293).

It can be written as a sum of positive squares in only one way, i.e., 21316 + 17956 = 146^2 + 134^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39272.

It is an unprimeable number.

39272 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 2447 + ... + 2462.

2³⁹²⁷² is an apocalyptic number.

It is an amenable number.

39272 is a deficient number, since it is larger than the sum of its proper divisors (34378).

39272 is a wasteful number, since it uses less digits than its factorization.

39272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4911 counting only the distinct ones).

The product of its digits is 756, while the sum is 23.

The square root of 39272 is about 198.1716427746. The cubic root of 39272 is about 33.9907702744.

It can be divided in two parts, 392 and 72, that multiplied together give a square (28224 = 168²).

The spelling of 39272 in words is "thirty-nine thousand, two hundred seventy-two".