72538 has 4 divisors (see below), whose sum is σ = 108810. Its totient is φ = 36268.
The previous prime is 72533. The next prime is 72547. The reversal of 72538 is 83527.
It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 83527 = 101 ⋅827.
It can be written as a sum of positive squares in only one way, i.e., 41209 + 31329 = 203^2 + 177^2 .
It is a super-2 number, since 2×725382 = 10523522888, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (72533) by changing a digit.
72538 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18133 + ... + 18136.
272538 is an apocalyptic number.
72538 is a deficient number, since it is larger than the sum of its proper divisors (36272).
72538 is a wasteful number, since it uses less digits than its factorization.
72538 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36271.
The product of its digits is 1680, while the sum is 25.
The square root of 72538 is about 269.3287953413. The cubic root of 72538 is about 41.7050384295.
It can be divided in two parts, 7 and 2538, that multiplied together give a triangular number (17766 = T188).
The spelling of 72538 in words is "seventy-two thousand, five hundred thirty-eight".
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