75738 has 16 divisors (see below), whose sum is σ = 163296. Its totient is φ = 23280.
The previous prime is 75731. The next prime is 75743. The reversal of 75738 is 83757.
It is an Ulam number.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (75731) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 563.
It is an arithmetic number, because the mean of its divisors is an integer number (10206).
275738 is an apocalyptic number.
75738 is a gapful number since it is divisible by the number (78) formed by its first and last digit.
75738 is an abundant number, since it is smaller than the sum of its proper divisors (87558).
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 (81648).
75738 is a wasteful number, since it uses less digits than its factorization.
75738 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 989.
The product of its digits is 5880, while the sum is 30.
The square root of 75738 is about 275.2053778544. The cubic root of 75738 is about 42.3095049870.
Adding to 75738 its product of digits (5880), we get a palindrome (81618).
The spelling of 75738 in words is "seventy-five thousand, seven hundred thirty-eight".
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