80072 has 8 divisors (see below), whose sum is σ = 150150. Its totient is φ = 40032.

The previous prime is 80071. The next prime is 80077. The reversal of 80072 is 27008.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 37636 = 206^2 + 194^2 .

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

80072 is a modest number, since divided by 72 gives 8 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 80072.

It is not an unprimeable number, because it can be changed into a prime (80071) by changing a digit.

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, 4997 + ... + 5012.

2⁸⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

80072 is a deficient number, since it is larger than the sum of its proper divisors (70078).

80072 is a wasteful number, since it uses less digits than its factorization.

80072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10015 (or 10011 counting only the distinct ones).

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

The square root of 80072 is about 282.9699630703. The cubic root of 80072 is about 43.1016165327.

Adding to 80072 its sum of digits (17), we get a square (80089 = 283²).

It can be divided in two parts, 800 and 72, that multiplied together give a square (57600 = 240²).

The spelling of 80072 in words is "eighty thousand, seventy-two".