75065120 has 96 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 27417600.

The previous prime is 75065093. The next prime is 75065129. The reversal of 75065120 is 2156057.

It is a super-2 number, since 2×75065120² = 11269544481228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 75065120.

It is not an unprimeable number, because it can be changed into a prime (75065129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313961 + ... + 314199.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^75065120 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 75065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

75065120 is an abundant number, since it is smaller than the sum of its proper divisors (117987040).

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

75065120 is a wasteful number, since it uses less digits than its factorization.

75065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 75065120 is about 8664.0129270448. The cubic root of 75065120 is about 421.8383514209.

The spelling of 75065120 in words is "seventy-five million, sixty-five thousand, one hundred twenty".