75075660 has 180 divisors, whose sum is σ = 259547904. Its totient is φ = 18152640.

The previous prime is 75075659. The next prime is 75075661. The reversal of 75075660 is 6657057.

It is an interprime number because it is at equal distance from previous prime (75075659) and next prime (75075661).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75075661) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 195829 + ... + 196211.

Almost surely, 2^75075660 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 75075660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129773952).

75075660 is an abundant number, since it is smaller than the sum of its proper divisors (184472244).

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

75075660 is a wasteful number, since it uses less digits than its factorization.

75075660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 75075660 is about 8664.6211688683. The cubic root of 75075660 is about 421.8580941374.

The spelling of 75075660 in words is "seventy-five million, seventy-five thousand, six hundred sixty".