75060160 has 84 divisors (see below), whose sum is σ = 207961992. Its totient is φ = 25729536.

The previous prime is 75060131. The next prime is 75060169. The reversal of 75060160 is 6106057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75060169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13287 + ... + 18073.

It is an arithmetic number, because the mean of its divisors is an integer number (2475738).

Almost surely, 2^75060160 is an apocalyptic number.

75060160 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 75060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103980996).

75060160 is an abundant number, since it is smaller than the sum of its proper divisors (132901832).

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

75060160 is a wasteful number, since it uses less digits than its factorization.

75060160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 75060160 is about 8663.7266808228. The cubic root of 75060160 is about 421.8290600913.

The spelling of 75060160 in words is "seventy-five million, sixty thousand, one hundred sixty".