75182080 has 52 divisors (see below), whose sum is σ = 180464112. Its totient is φ = 30064640.

The previous prime is 75182059. The next prime is 75182083. The reversal of 75182080 is 8028157.

It is not an unprimeable number, because it can be changed into a prime (75182083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18645 + ... + 22315.

Almost surely, 2^75182080 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 75182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90232056).

75182080 is an abundant number, since it is smaller than the sum of its proper divisors (105282032).

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

75182080 is an equidigital number, since it uses as much as digits as its factorization.

75182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 75182080 is about 8670.7600589568. The cubic root of 75182080 is about 422.0573284499.

The spelling of 75182080 in words is "seventy-five million, one hundred eighty-two thousand, eighty".