75005640 has 96 divisors (see below), whose sum is σ = 246612600. Its totient is φ = 19768320.

The previous prime is 75005639. The next prime is 75005663. The reversal of 75005640 is 4650057.

It can be written as a sum of positive squares in 4 ways, for example, as 54375876 + 20629764 = 7374^2 + 4542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30870 + ... + 33210.

Almost surely, 2^75005640 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 75005640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123306300).

75005640 is an abundant number, since it is smaller than the sum of its proper divisors (171606960).

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

75005640 is a wasteful number, since it uses less digits than its factorization.

75005640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75005640 is about 8660.5796572747. The cubic root of 75005640 is about 421.7269034086.

Adding to 75005640 its reverse (4650057), we get a palindrome (79655697).

The spelling of 75005640 in words is "seventy-five million, five thousand, six hundred forty".