75126000 has 160 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 18950400.

The previous prime is 75125993. The next prime is 75126047. The reversal of 75126000 is 62157.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 113671 + ... + 114329.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 2^75126000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

75126000 is an abundant number, since it is smaller than the sum of its proper divisors (180214800).

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

75126000 is a wasteful number, since it uses less digits than its factorization.

75126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 75126000 is about 8667.5255984623. The cubic root of 75126000 is about 421.9523616702.

Adding to 75126000 its reverse (62157), we get a palindrome (75188157).

The spelling of 75126000 in words is "seventy-five million, one hundred twenty-six thousand".