75098120 has 64 divisors (see below), whose sum is σ = 177085440. Its totient is φ = 28627200.

The previous prime is 75098119. The next prime is 75098131. The reversal of 75098120 is 2189057.

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 15 ways as a sum of consecutive naturals, for example, 87614 + ... + 88466.

It is an arithmetic number, because the mean of its divisors is an integer number (2766960).

Almost surely, 2^75098120 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 75098120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88542720).

75098120 is an abundant number, since it is smaller than the sum of its proper divisors (101987320).

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

75098120 is a wasteful number, since it uses less digits than its factorization.

75098120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 75098120 is about 8665.9171470768. The cubic root of 75098120 is about 421.9001583168.

The spelling of 75098120 in words is "seventy-five million, ninety-eight thousand, one hundred twenty".