75370240 has 144 divisors (see below), whose sum is σ = 202650336. Its totient is φ = 26624000.

The previous prime is 75370223. The next prime is 75370247. The reversal of 75370240 is 4207357.

It is a junction number, because it is equal to n+sod(n) for n = 75370199 and 75370208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75370247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746190 + ... + 746290.

It is an arithmetic number, because the mean of its divisors is an integer number (1407294).

Almost surely, 2^75370240 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 75370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101325168).

75370240 is an abundant number, since it is smaller than the sum of its proper divisors (127280096).

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

75370240 is a wasteful number, since it uses less digits than its factorization.

75370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 75370240 is about 8681.6035385175. The cubic root of 75370240 is about 422.4091327992.

Adding to 75370240 its reverse (4207357), we get a palindrome (79577597).

The spelling of 75370240 in words is "seventy-five million, three hundred seventy thousand, two hundred forty".