75074944 has 64 divisors (see below), whose sum is σ = 178410240. Its totient is φ = 30767616.

The previous prime is 75074929. The next prime is 75074953. The reversal of 75074944 is 44947057.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 75074897 and 75074906.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 18787 + ... + 22429.

It is an arithmetic number, because the mean of its divisors is an integer number (2787660).

Almost surely, 2^75074944 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 75074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89205120).

75074944 is an abundant number, since it is smaller than the sum of its proper divisors (103335296).

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

75074944 is a wasteful number, since it uses less digits than its factorization.

75074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 75074944 is about 8664.5798513257. The cubic root of 75074944 is about 421.8567530398.

The spelling of 75074944 in words is "seventy-five million, seventy-four thousand, nine hundred forty-four".