75935040 has 112 divisors (see below), whose sum is σ = 244254528. Its totient is φ = 19984384.

The previous prime is 75935023. The next prime is 75935047. The reversal of 75935040 is 4053957.

It is a super-2 number, since 2×75935040² = 11532260599603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75934992 and 75935010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75935047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79204 + ... + 80156.

It is an arithmetic number, because the mean of its divisors is an integer number (2180844).

Almost surely, 2^75935040 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 75935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122127264).

75935040 is an abundant number, since it is smaller than the sum of its proper divisors (168319488).

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

75935040 is a wasteful number, since it uses less digits than its factorization.

75935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 75935040 is about 8714.0713790971. The cubic root of 75935040 is about 423.4616402090.

Adding to 75935040 its reverse (4053957), we get a palindrome (79988997).

The spelling of 75935040 in words is "seventy-five million, nine hundred thirty-five thousand, forty".