It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
It is an unprimeable number.
275600 is an apocalyptic number.
75600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 75600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
75600 is a wasteful number, since it uses less digits than its factorization.
75600 is an odious number, because the sum of its binary digits is odd.
The square root of 75600 is about 274.9545416974. The cubic root of 75600 is about 42.2837923924.
The spelling of 75600 in words is "seventy-five thousand, six hundred".