75228160 has 88 divisors (see below), whose sum is σ = 206337600. Its totient is φ = 25780224.

The previous prime is 75228149. The next prime is 75228211. The reversal of 75228160 is 6182257.

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 7 ways as a sum of consecutive naturals, for example, 34791 + ... + 36889.

Almost surely, 2^75228160 is an apocalyptic number.

75228160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103168800).

75228160 is an abundant number, since it is smaller than the sum of its proper divisors (131109440).

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

75228160 is a wasteful number, since it uses less digits than its factorization.

75228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 75228160 is about 8673.4168584244. The cubic root of 75228160 is about 422.1435388415.

The spelling of 75228160 in words is "seventy-five million, two hundred twenty-eight thousand, one hundred sixty".