75675744 has 72 divisors (see below), whose sum is σ = 217002240. Its totient is φ = 25014528.

The previous prime is 75675739. The next prime is 75675751. The reversal of 75675744 is 44757657.

75675744 is a `hidden beast` number, since 75 + 6 + 7 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 75675744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35542 + ... + 37610.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2^75675744 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 75675744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108501120).

75675744 is an abundant number, since it is smaller than the sum of its proper divisors (141326496).

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

75675744 is a wasteful number, since it uses less digits than its factorization.

75675744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2201 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

The square root of 75675744 is about 8699.1806510728. The cubic root of 75675744 is about 422.9790912321.

The spelling of 75675744 in words is "seventy-five million, six hundred seventy-five thousand, seven hundred forty-four".