75053600 has 72 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 28709120.

The previous prime is 75053597. The next prime is 75053609. The reversal of 75053600 is 635057.

It is a self number, because there is not a number n which added to its sum of digits gives 75053600.

It is not an unprimeable number, because it can be changed into a prime (75053609) 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 11 ways as a sum of consecutive naturals, for example, 16361 + ... + 20439.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^75053600 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 75053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

75053600 is an abundant number, since it is smaller than the sum of its proper divisors (116184160).

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

75053600 is a wasteful number, since it uses less digits than its factorization.

75053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 75053600 is about 8663.3480825833. The cubic root of 75053600 is about 421.8167709300.

Adding to 75053600 its reverse (635057), we get a palindrome (75688657).

The spelling of 75053600 in words is "seventy-five million, fifty-three thousand, six hundred".