72124 has 24 divisors (see below), whose sum is σ = 145040. Its totient is φ = 31104.
The previous prime is 72109. The next prime is 72139. The reversal of 72124 is 42127.
It is an interprime number because it is at equal distance from previous prime (72109) and next prime (72139).
It is a plaindrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 72098 and 72107.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 952 + ... + 1024.
272124 is an apocalyptic number.
It is an amenable number.
72124 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
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 (72520).
72124 is a wasteful number, since it uses less digits than its factorization.
72124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 109 (or 107 counting only the distinct ones).
The product of its digits is 112, while the sum is 16.
The square root of 72124 is about 268.5591182589. The cubic root of 72124 is about 41.6255452077.
It can be divided in two parts, 72 and 124, that added together give a square (196 = 142).
The spelling of 72124 in words is "seventy-two thousand, one hundred twenty-four", and thus it is an iban number.
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