75060 has 48 divisors (see below), whose sum is σ = 235200. Its totient is φ = 19872.

The previous prime is 75041. The next prime is 75079. The reversal of 75060 is 6057.

It is an interprime number because it is at equal distance from previous prime (75041) and next prime (75079).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

75060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

2⁷⁵⁰⁶⁰ 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 75060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117600).

75060 is an abundant number, since it is smaller than the sum of its proper divisors (160140).

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

75060 is a wasteful number, since it uses less digits than its factorization.

75060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 75060 is about 273.9708013639. The cubic root of 75060 is about 42.1828760364.

Adding to 75060 its sum of digits (18), we get a triangular number (75078 = T₃₈₇).

The spelling of 75060 in words is "seventy-five thousand, sixty".