75126150 has 96 divisors (see below), whose sum is σ = 225878400. Its totient is φ = 18208800.

The previous prime is 75126143. The next prime is 75126151. The reversal of 75126150 is 5162157.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75126151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12321 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (2352900).

Almost surely, 2^75126150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75126150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112939200).

75126150 is an abundant number, since it is smaller than the sum of its proper divisors (150752250).

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

75126150 is a wasteful number, since it uses less digits than its factorization.

75126150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 75126150 is about 8667.5342514466. The cubic root of 75126150 is about 421.9526424998.

The spelling of 75126150 in words is "seventy-five million, one hundred twenty-six thousand, one hundred fifty".