75225700 has 54 divisors (see below), whose sum is σ = 179457698. Its totient is φ = 27350400.

The previous prime is 75225679. The next prime is 75225701. The reversal of 75225700 is 752257.

It can be written as a sum of positive squares in 3 ways, for example, as 10036224 + 65189476 = 3168^2 + 8074^2 .

It is not an unprimeable number, because it can be changed into a prime (75225701) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8992 + ... + 15208.

Almost surely, 2^75225700 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 75225700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89728849).

75225700 is an abundant number, since it is smaller than the sum of its proper divisors (104231998).

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

75225700 is a wasteful number, since it uses less digits than its factorization.

75225700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6235 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 75225700 is about 8673.2750446414. The cubic root of 75225700 is about 422.1389373535.

Adding to 75225700 its reverse (752257), we get a palindrome (75977957).

Multiplying 75225700 by its reverse (752257), we get a square (56589059404900 = 7522570²).

75225700 divided by its reverse (752257) gives a square (100 = 10²).

The spelling of 75225700 in words is "seventy-five million, two hundred twenty-five thousand, seven hundred".