75978144 has 144 divisors (see below), whose sum is σ = 244127520. Its totient is φ = 22202880.

The previous prime is 75978137. The next prime is 75978163. The reversal of 75978144 is 44187957.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 75978144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91459 + ... + 92285.

It is an arithmetic number, because the mean of its divisors is an integer number (1695330).

Almost surely, 2^75978144 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 75978144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122063760).

75978144 is an abundant number, since it is smaller than the sum of its proper divisors (168149376).

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

75978144 is a wasteful number, since it uses less digits than its factorization.

75978144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 872 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 75978144 is about 8716.5442693765. The cubic root of 75978144 is about 423.5417500763.

The spelling of 75978144 in words is "seventy-five million, nine hundred seventy-eight thousand, one hundred forty-four".