75584742 has 32 divisors (see below), whose sum is σ = 155865600. Its totient is φ = 24422688.

The previous prime is 75584699. The next prime is 75584749. The reversal of 75584742 is 24748557.

It is a junction number, because it is equal to n+sod(n) for n = 75584694 and 75584703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75584749) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29509 + ... + 31967.

It is an arithmetic number, because the mean of its divisors is an integer number (4870800).

Almost surely, 2^75584742 is an apocalyptic number.

75584742 is an abundant number, since it is smaller than the sum of its proper divisors (80280858).

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

75584742 is a wasteful number, since it uses less digits than its factorization.

75584742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620.

The product of its digits is 313600, while the sum is 42.

The square root of 75584742 is about 8693.9485850792. The cubic root of 75584742 is about 422.8094755327.

The spelling of 75584742 in words is "seventy-five million, five hundred eighty-four thousand, seven hundred forty-two".