72980 has 24 divisors (see below), whose sum is σ = 158760. Its totient is φ = 28160.

The previous prime is 72977. The next prime is 72997. The reversal of 72980 is 8927.

It can be written as a sum of positive squares in 4 ways, for example, as 1156 + 71824 = 34^2 + 268^2 .

It is a congruent number.

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 in 7 ways as a sum of consecutive naturals, for example, 776 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁷²⁹⁸⁰ 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 72980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380).

72980 is an abundant number, since it is smaller than the sum of its proper divisors (85780).

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

72980 is a wasteful number, since it uses less digits than its factorization.

72980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 72980 is about 270.1481075262. The cubic root of 72980 is about 41.7895748671.

The spelling of 72980 in words is "seventy-two thousand, nine hundred eighty".