5072 has 10 divisors (see below), whose sum is σ = 9858. Its totient is φ = 2528.

The previous prime is 5059. The next prime is 5077. The reversal of 5072 is 2705.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 1936 = 56^2 + 44^2 .

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 (5077) by changing a digit.

5072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143 + ... + 174.

2⁵⁰⁷² is an apocalyptic number.

It is an amenable number.

5072 is a deficient number, since it is larger than the sum of its proper divisors (4786).

5072 is a wasteful number, since it uses less digits than its factorization.

5072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 5072 is about 71.2179752591. The cubic root of 5072 is about 17.1814474556.

Adding to 5072 its reverse (2705), we get a palindrome (7777).

It can be divided in two parts, 50 and 72, that multiplied together give a square (3600 = 60²).

The spelling of 5072 in words is "five thousand, seventy-two".