75123540 has 72 divisors (see below), whose sum is σ = 235243008. Its totient is φ = 19385280.

The previous prime is 75123481. The next prime is 75123541. The reversal of 75123540 is 4532157.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75123541) by changing a digit.

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, 1152 + ... + 12311.

It is an arithmetic number, because the mean of its divisors is an integer number (3267264).

Almost surely, 2^75123540 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 75123540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117621504).

75123540 is an abundant number, since it is smaller than the sum of its proper divisors (160119468).

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

75123540 is a wasteful number, since it uses less digits than its factorization.

75123540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13509 (or 13504 counting only the distinct ones).

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

The square root of 75123540 is about 8667.3836882879. The cubic root of 75123540 is about 421.9477560115.

Adding to 75123540 its reverse (4532157), we get a palindrome (79655697).

The spelling of 75123540 in words is "seventy-five million, one hundred twenty-three thousand, five hundred forty".