75271120 has 20 divisors (see below), whose sum is σ = 175005540. Its totient is φ = 30108416.

The previous prime is 75271117. The next prime is 75271129. The reversal of 75271120 is 2117257.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38837824 + 36433296 = 6232^2 + 6036^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75271129) 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 3 ways as a sum of consecutive naturals, for example, 470365 + ... + 470524.

It is an arithmetic number, because the mean of its divisors is an integer number (8750277).

Almost surely, 2^75271120 is an apocalyptic number.

It is an amenable number.

75271120 is an abundant number, since it is smaller than the sum of its proper divisors (99734420).

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

75271120 is a wasteful number, since it uses less digits than its factorization.

75271120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940902 (or 940896 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 75271120 is about 8675.8930376071. The cubic root of 75271120 is about 422.2238803669.

Adding to 75271120 its reverse (2117257), we get a palindrome (77388377).

The spelling of 75271120 in words is "seventy-five million, two hundred seventy-one thousand, one hundred twenty".