72984 has 16 divisors (see below), whose sum is σ = 182520. Its totient is φ = 24320.

The previous prime is 72977. The next prime is 72997. The reversal of 72984 is 48927.

It is a d-powerful number, because it can be written as 7³ + 2⁵ + 9⁴ + 8³ + 4⁸ .

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 3 ways as a sum of consecutive naturals, for example, 1497 + ... + 1544.

2⁷²⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

72984 is an abundant number, since it is smaller than the sum of its proper divisors (109536).

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 (91260).

72984 is a wasteful number, since it uses less digits than its factorization.

72984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3046 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 72984 is about 270.1555107711. The cubic root of 72984 is about 41.7903383422.

It can be divided in two parts, 7298 and 4, that multiplied together give a palindrome (29192).

The spelling of 72984 in words is "seventy-two thousand, nine hundred eighty-four".