75189900 has 72 divisors (see below), whose sum is σ = 222891984. Its totient is φ = 19558400.

The previous prime is 75189899. The next prime is 75189901. The reversal of 75189900 is 998157.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75189899) and next prime (75189901).

It is not an unprimeable number, because it can be changed into a prime (75189901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9244 + ... + 15356.

It is an arithmetic number, because the mean of its divisors is an integer number (3095722).

Almost surely, 2^75189900 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 75189900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111445992).

75189900 is an abundant number, since it is smaller than the sum of its proper divisors (147702084).

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

75189900 is a wasteful number, since it uses less digits than its factorization.

75189900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 75189900 is about 8671.2109880916. The cubic root of 75189900 is about 422.0719612538.

The spelling of 75189900 in words is "seventy-five million, one hundred eighty-nine thousand, nine hundred".