72080 has 40 divisors (see below), whose sum is σ = 180792. Its totient is φ = 26624.

The previous prime is 72077. The next prime is 72089. The reversal of 72080 is 8027.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 50176 = 148^2 + 224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (72089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1334 + ... + 1386.

2⁷²⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90396).

72080 is an abundant number, since it is smaller than the sum of its proper divisors (108712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72080 is a wasteful number, since it uses less digits than its factorization.

72080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

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

The square root of 72080 is about 268.4771871128. The cubic root of 72080 is about 41.6170787862.

It can be divided in two parts, 720 and 80, that multiplied together give a square (57600 = 240²).

The spelling of 72080 in words is "seventy-two thousand, eighty".