75150 has 36 divisors (see below), whose sum is σ = 203112. Its totient is φ = 19920.
The previous prime is 75149. The next prime is 75161. The reversal of 75150 is 5157.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a plaindrome in base 16.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 367 + ... + 533.
It is an arithmetic number, because the mean of its divisors is an integer number (5642).
275150 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 75150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556).
75150 is an abundant number, since it is smaller than the sum of its proper divisors (127962).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
75150 is a wasteful number, since it uses less digits than its factorization.
75150 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 185 (or 177 counting only the distinct ones).
The product of its (nonzero) digits is 175, while the sum is 18.
The square root of 75150 is about 274.1350032375. The cubic root of 75150 is about 42.1997289651.
It can be divided in two parts, 75 and 150, that added together give a square (225 = 152).
The spelling of 75150 in words is "seventy-five thousand, one hundred fifty".
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