5672 has 8 divisors (see below), whose sum is σ = 10650. Its totient is φ = 2832.

The previous prime is 5669. The next prime is 5683. The reversal of 5672 is 2765.

It can be written as a sum of positive squares in only one way, i.e., 5476 + 196 = 74^2 + 14^2 .

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

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

It is a pancake number, because a pancake can be divided into 5672 parts by 106 straight cuts.

5672 is a modest number, since divided by 72 gives 56 as remainder.

It is a plaindrome in base 12.

It is an unprimeable number.

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, 347 + ... + 362.

2⁵⁶⁷² is an apocalyptic number.

It is an amenable number.

5672 is a deficient number, since it is larger than the sum of its proper divisors (4978).

5672 is a wasteful number, since it uses less digits than its factorization.

5672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 711 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 5672 is about 75.3126815351. The cubic root of 5672 is about 17.8338622333.

It can be divided in two parts, 56 and 72, that added together give a 7-th power (128 = 2⁷).

The spelling of 5672 in words is "five thousand, six hundred seventy-two".