75245040 has 120 divisors (see below), whose sum is σ = 272170080. Its totient is φ = 18519552.

The previous prime is 75245033. The next prime is 75245057. The reversal of 75245040 is 4054257.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 75244995 and 75245013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5341 + ... + 13379.

It is an arithmetic number, because the mean of its divisors is an integer number (2268084).

Almost surely, 2^75245040 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 75245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136085040).

75245040 is an abundant number, since it is smaller than the sum of its proper divisors (196925040).

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

75245040 is a wasteful number, since it uses less digits than its factorization.

75245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8071 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 75245040 is about 8674.3898920904. The cubic root of 75245040 is about 422.1751105740.

Adding to 75245040 its reverse (4054257), we get a palindrome (79299297).

The spelling of 75245040 in words is "seventy-five million, two hundred forty-five thousand, forty".