75126240 has 288 divisors, whose sum is σ = 304274880. Its totient is φ = 16515072.

The previous prime is 75126223. The next prime is 75126251. The reversal of 75126240 is 4262157.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 292192 + ... + 292448.

It is an arithmetic number, because the mean of its divisors is an integer number (1056510).

Almost surely, 2^75126240 is an apocalyptic number.

75126240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152137440).

75126240 is an abundant number, since it is smaller than the sum of its proper divisors (229148640).

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

75126240 is a wasteful number, since it uses less digits than its factorization.

75126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75126240 is about 8667.5394432330. The cubic root of 75126240 is about 421.9528109974.

Adding to 75126240 its reverse (4262157), we get a palindrome (79388397).

The spelling of 75126240 in words is "seventy-five million, one hundred twenty-six thousand, two hundred forty".