72484 has 6 divisors (see below), whose sum is σ = 126854. Its totient is φ = 36240.

The previous prime is 72481. The next prime is 72493. The reversal of 72484 is 48427.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 14884 = 240^2 + 122^2 .

It is not an unprimeable number, because it can be changed into a prime (72481) 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, 9057 + ... + 9064.

2⁷²⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

72484 is a deficient number, since it is larger than the sum of its proper divisors (54370).

72484 is a wasteful number, since it uses less digits than its factorization.

72484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18125 (or 18123 counting only the distinct ones).

The product of its digits is 1792, while the sum is 25.

The square root of 72484 is about 269.2285274632. The cubic root of 72484 is about 41.6946869303.

It can be divided in two parts, 724 and 84, that added together give a palindrome (808).

The spelling of 72484 in words is "seventy-two thousand, four hundred eighty-four".