75438441 has 24 divisors (see below), whose sum is σ = 117641160. Its totient is φ = 46308096.

The previous prime is 75438439. The next prime is 75438479. The reversal of 75438441 is 14483457.

It can be written as a sum of positive squares in 4 ways, for example, as 11758041 + 63680400 = 3429^2 + 7980^2 .

It is not a de Polignac number, because 75438441 - 2¹ = 75438439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 75438396 and 75438405.

It is not an unprimeable number, because it can be changed into a prime (75438421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92845 + ... + 93653.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^75438441 is an apocalyptic number.

It is an amenable number.

75438441 is a deficient number, since it is larger than the sum of its proper divisors (42202719).

75438441 is a wasteful number, since it uses less digits than its factorization.

75438441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1622 counting only the distinct ones).

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

The square root of 75438441 is about 8685.5305537428. The cubic root of 75438441 is about 422.5365042044.

It can be divided in two parts, 75 and 438441, that added together give a triangular number (438516 = T₉₃₆).

The spelling of 75438441 in words is "seventy-five million, four hundred thirty-eight thousand, four hundred forty-one".