75141120 has 104 divisors (see below), whose sum is σ = 240618816. Its totient is φ = 20021248.

The previous prime is 75141097. The next prime is 75141127. The reversal of 75141120 is 2114157.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75141127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60829 + ... + 62051.

Almost surely, 2^75141120 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 75141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120309408).

75141120 is an abundant number, since it is smaller than the sum of its proper divisors (165477696).

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

75141120 is a wasteful number, since it uses less digits than its factorization.

75141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 75141120 is about 8668.3977758292. The cubic root of 75141120 is about 421.9806674132.

Adding to 75141120 its reverse (2114157), we get a palindrome (77255277).

The spelling of 75141120 in words is "seventy-five million, one hundred forty-one thousand, one hundred twenty".