75090180 has 72 divisors (see below), whose sum is σ = 231126336. Its totient is φ = 18201920.

The previous prime is 75090157. The next prime is 75090199. The reversal of 75090180 is 8109057.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2089 + ... + 12431.

It is an arithmetic number, because the mean of its divisors is an integer number (3210088).

Almost surely, 2^75090180 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 75090180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115563168).

75090180 is an abundant number, since it is smaller than the sum of its proper divisors (156036156).

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

75090180 is a wasteful number, since it uses less digits than its factorization.

75090180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 75090180 is about 8665.4590184248. The cubic root of 75090180 is about 421.8852888574.

The spelling of 75090180 in words is "seventy-five million, ninety thousand, one hundred eighty".