75584496 has 80 divisors (see below), whose sum is σ = 212798880. Its totient is φ = 22978560.

The previous prime is 75584491. The next prime is 75584503. The reversal of 75584496 is 69448557.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75584491) 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, 54856 + ... + 56216.

It is an arithmetic number, because the mean of its divisors is an integer number (2659986).

Almost surely, 2^75584496 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 75584496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106399440).

75584496 is an abundant number, since it is smaller than the sum of its proper divisors (137214384).

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

75584496 is a wasteful number, since it uses less digits than its factorization.

75584496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1468 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 75584496 is about 8693.9344372959. The cubic root of 75584496 is about 422.8090168367.

The spelling of 75584496 in words is "seventy-five million, five hundred eighty-four thousand, four hundred ninety-six".