4072 has 8 divisors (see below), whose sum is σ = 7650. Its totient is φ = 2032.

The previous prime is 4057. The next prime is 4073. The reversal of 4072 is 2704.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 1156 = 54^2 + 34^2 .

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

4072 is a modest number, since divided by 72 gives 40 as remainder.

It is a plaindrome in base 14.

It is a nialpdrome in base 4, base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (4073) by changing a digit.

4072 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, 247 + ... + 262.

2⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

4072 is a deficient number, since it is larger than the sum of its proper divisors (3578).

4072 is a wasteful number, since it uses less digits than its factorization.

4072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 4072 is about 63.8122245342. The cubic root of 4072 is about 15.9686887654.

Adding to 4072 its reverse (2704), we get a palindrome (6776).

The spelling of 4072 in words is "four thousand, seventy-two", and thus it is an iban number.