75481344 has 81 divisors (see below), whose sum is σ = 218840349. Its totient is φ = 25021440.

The previous prime is 75481337. The next prime is 75481363. The reversal of 75481344 is 44318457.

The square root of 75481344 is 8688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 831744 + 74649600 = 912^2 + 8640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (53760) is a multiple of the sum of its prime factors (384).

It is a junction number, because it is equal to n+sod(n) for n = 75481299 and 75481308.

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 8 ways as a sum of consecutive naturals, for example, 416934 + ... + 417114.

Almost surely, 2^75481344 is an apocalyptic number.

75481344 is the 8688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75481344

75481344 is an abundant number, since it is smaller than the sum of its proper divisors (143359005).

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

75481344 is an equidigital number, since it uses as much as digits as its factorization.

75481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 186 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The cubic root of 75481344 is about 422.6165900241.

Multiplying 75481344 by its sum of digits (36), we get a square (2717328384 = 52128²).

75481344 divided by its sum of digits (36) gives a square (2096704 = 1448²).

The spelling of 75481344 in words is "seventy-five million, four hundred eighty-one thousand, three hundred forty-four".