8072 has 8 divisors (see below), whose sum is σ = 15150. Its totient is φ = 4032.

The previous prime is 8069. The next prime is 8081. The reversal of 8072 is 2708.

8072 = T₁₃ + T₁₄ + ... + T₃₆.

8072 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 7396 + 676 = 86^2 + 26^2 .

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

8072 is a modest number, since divided by 72 gives 8 as remainder.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 8072.

It is an unprimeable 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, 497 + ... + 512.

2⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

8072 is a deficient number, since it is larger than the sum of its proper divisors (7078).

8072 is a wasteful number, since it uses less digits than its factorization.

8072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 8072 is about 89.8443097809. The cubic root of 8072 is about 20.0598208946.

The spelling of 8072 in words is "eight thousand, seventy-two".