72880 has 20 divisors (see below), whose sum is σ = 169632. Its totient is φ = 29120.

The previous prime is 72871. The next prime is 72883. The reversal of 72880 is 8827.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×72880² = 10622988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72883) 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 in 3 ways as a sum of consecutive naturals, for example, 376 + ... + 535.

2⁷²⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

72880 is an abundant number, since it is smaller than the sum of its proper divisors (96752).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84816).

72880 is a wasteful number, since it uses less digits than its factorization.

72880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 72880 is about 269.9629604224. The cubic root of 72880 is about 41.7704789154.

It can be divided in two parts, 728 and 80, that added together give a palindrome (808).

The spelling of 72880 in words is "seventy-two thousand, eight hundred eighty".