75105240 has 192 divisors, whose sum is σ = 268155360. Its totient is φ = 16773120.

The previous prime is 75105223. The next prime is 75105241. The reversal of 75105240 is 4250157.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 75105240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75105241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311520 + ... + 311760.

Almost surely, 2^75105240 is an apocalyptic number.

75105240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134077680).

75105240 is an abundant number, since it is smaller than the sum of its proper divisors (193050120).

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

75105240 is a wasteful number, since it uses less digits than its factorization.

75105240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 75105240 is about 8666.3279420987. The cubic root of 75105240 is about 421.9134912480.

Adding to 75105240 its reverse (4250157), we get a palindrome (79355397).

The spelling of 75105240 in words is "seventy-five million, one hundred five thousand, two hundred forty".