75144744 has 96 divisors (see below), whose sum is σ = 212509440. Its totient is φ = 23961600.

The previous prime is 75144733. The next prime is 75144781. The reversal of 75144744 is 44744157.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75144699 and 75144708.

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 23 ways as a sum of consecutive naturals, for example, 292264 + ... + 292520.

It is an arithmetic number, because the mean of its divisors is an integer number (2213640).

Almost surely, 2^75144744 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 75144744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106254720).

75144744 is an abundant number, since it is smaller than the sum of its proper divisors (137364696).

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

75144744 is a wasteful number, since it uses less digits than its factorization.

75144744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 75144744 is about 8668.6068084785. The cubic root of 75144744 is about 421.9874512414.

The spelling of 75144744 in words is "seventy-five million, one hundred forty-four thousand, seven hundred forty-four".