75385960 has 32 divisors (see below), whose sum is σ = 182667240. Its totient is φ = 27834624.

The previous prime is 75385931. The next prime is 75385969. The reversal of 75385960 is 6958357.

It can be written as a sum of positive squares in 4 ways, for example, as 26357956 + 49028004 = 5134^2 + 7002^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (75385969) 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 7 ways as a sum of consecutive naturals, for example, 71967 + ... + 73006.

Almost surely, 2^75385960 is an apocalyptic number.

It is an amenable number.

75385960 is an abundant number, since it is smaller than the sum of its proper divisors (107281280).

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

75385960 is a wasteful number, since it uses less digits than its factorization.

75385960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144997 (or 144993 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 75385960 is about 8682.5088540122. The cubic root of 75385960 is about 422.4384981029.

The spelling of 75385960 in words is "seventy-five million, three hundred eighty-five thousand, nine hundred sixty".