72544 has 12 divisors (see below), whose sum is σ = 142884. Its totient is φ = 36256.
The previous prime is 72533. The next prime is 72547. The reversal of 72544 is 44527.
72544 is nontrivially palindromic in base 5.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (72547) 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, 1102 + ... + 1165.
It is an arithmetic number, because the mean of its divisors is an integer number (11907).
272544 is an apocalyptic number.
It is an amenable number.
72544 is a deficient number, since it is larger than the sum of its proper divisors (70340).
72544 is a wasteful number, since it uses less digits than its factorization.
72544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2277 (or 2269 counting only the distinct ones).
The product of its digits is 1120, while the sum is 22.
The square root of 72544 is about 269.3399339125. The cubic root of 72544 is about 41.7061882789.
It can be divided in two parts, 72 and 544, that added together give a palindrome (616).
The spelling of 72544 in words is "seventy-two thousand, five hundred forty-four".
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