75205000 has 120 divisors (see below), whose sum is σ = 192946050. Its totient is φ = 27456000.

The previous prime is 75204971. The next prime is 75205001. The reversal of 75205000 is 50257.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 66945124 + 8259876 = 8182^2 + 2874^2 .

It is not an unprimeable number, because it can be changed into a prime (75205001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 844956 + ... + 845044.

Almost surely, 2^75205000 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 75205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96473025).

75205000 is an abundant number, since it is smaller than the sum of its proper divisors (117741050).

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

75205000 is a wasteful number, since it uses less digits than its factorization.

75205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

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

The square root of 75205000 is about 8672.0816416821. The cubic root of 75205000 is about 422.1002135413.

Adding to 75205000 its reverse (50257), we get a palindrome (75255257).

The spelling of 75205000 in words is "seventy-five million, two hundred five thousand".