75663744 has 128 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 22235136.

The previous prime is 75663727. The next prime is 75663769. The reversal of 75663744 is 44736657.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 75663696 and 75663705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114487 + ... + 115145.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^75663744 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 75663744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

75663744 is an abundant number, since it is smaller than the sum of its proper divisors (150531456).

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

75663744 is a wasteful number, since it uses less digits than its factorization.

75663744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 700 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 75663744 is about 8698.4909035993. The cubic root of 75663744 is about 422.9567326042.

The spelling of 75663744 in words is "seventy-five million, six hundred sixty-three thousand, seven hundred forty-four".