75052000 has 96 divisors (see below), whose sum is σ = 191056320. Its totient is φ = 28940800.

The previous prime is 75051959. The next prime is 75052007. The reversal of 75052000 is 25057.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75052007) 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 15 ways as a sum of consecutive naturals, for example, 115677 + ... + 116323.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2^75052000 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 75052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

75052000 is an abundant number, since it is smaller than the sum of its proper divisors (116004320).

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

75052000 is a wasteful number, since it uses less digits than its factorization.

75052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 75052000 is about 8663.2557390395. The cubic root of 75052000 is about 421.8137734649.

Adding to 75052000 its reverse (25057), we get a palindrome (75077057).

The spelling of 75052000 in words is "seventy-five million, fifty-two thousand".