75250 has 32 divisors (see below), whose sum is σ = 164736. Its totient is φ = 25200.

The previous prime is 75239. The next prime is 75253. The reversal of 75250 is 5257.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729 + ... + 1771.

It is an arithmetic number, because the mean of its divisors is an integer number (5148).

2⁷⁵²⁵⁰ is an apocalyptic number.

75250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75250 is an abundant number, since it is smaller than the sum of its proper divisors (89486).

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 (82368).

75250 is a wasteful number, since it uses less digits than its factorization.

75250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 75250 is about 274.3173344869. The cubic root of 75250 is about 42.2184386678.

It can be divided in two parts, 75 and 250, that added together give a triangular number (325 = T₂₅).

The spelling of 75250 in words is "seventy-five thousand, two hundred fifty".