5272 has 8 divisors (see below), whose sum is σ = 9900. Its totient is φ = 2632.

The previous prime is 5261. The next prime is 5273. The reversal of 5272 is 2725.

It is a happy number.

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

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 322 + ... + 337.

2⁵²⁷² is an apocalyptic number.

It is an amenable number.

5272 is a deficient number, since it is larger than the sum of its proper divisors (4628).

5272 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 5272 = (2527)₁₃.

5272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its digits is 140, while the sum is 16.

The square root of 5272 is about 72.6085394427. The cubic root of 5272 is about 17.4043764039.

Adding to 5272 its reverse (2725), we get a palindrome (7997).

It can be divided in two parts, 527 and 2, that added together give a square (529 = 23²).

The spelling of 5272 in words is "five thousand, two hundred seventy-two".