75964144 has 40 divisors (see below), whose sum is σ = 154333872. Its totient is φ = 36180480.

The previous prime is 75964129. The next prime is 75964153. The reversal of 75964144 is 44146957.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75964097 and 75964106.

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 7 ways as a sum of consecutive naturals, for example, 26862 + ... + 29554.

Almost surely, 2^75964144 is an apocalyptic number.

It is an amenable number.

75964144 is an abundant number, since it is smaller than the sum of its proper divisors (78369728).

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

75964144 is a wasteful number, since it uses less digits than its factorization.

75964144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 75964144 is about 8715.7411618290. The cubic root of 75964144 is about 423.5157340475.

The spelling of 75964144 in words is "seventy-five million, nine hundred sixty-four thousand, one hundred forty-four".