75380250 has 64 divisors (see below), whose sum is σ = 205276032. Its totient is φ = 18272000.

The previous prime is 75380243. The next prime is 75380267. The reversal of 75380250 is 5208357.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3682 + ... + 12818.

It is an arithmetic number, because the mean of its divisors is an integer number (3207438).

Almost surely, 2^75380250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75380250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102638016).

75380250 is an abundant number, since it is smaller than the sum of its proper divisors (129895782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75380250 is a wasteful number, since it uses less digits than its factorization.

75380250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 75380250 is about 8682.1800257769. The cubic root of 75380250 is about 422.4278321702.

It can be divided in two parts, 753 and 80250, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 75380250 in words is "seventy-five million, three hundred eighty thousand, two hundred fifty".