75690 has 36 divisors (see below), whose sum is σ = 203814. Its totient is φ = 19488.

The previous prime is 75689. The next prime is 75703. The reversal of 75690 is 9657.

It can be written as a sum of positive squares in 3 ways, for example, as 62001 + 13689 = 249^2 + 117^2 .

It is a super-2 number, since 2×75690² = 11457952200, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2596 + ... + 2624.

2⁷⁵⁶⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101907).

75690 is an abundant number, since it is smaller than the sum of its proper divisors (128124).

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

75690 is a wasteful number, since it uses less digits than its factorization.

75690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 75690 is about 275.1181564346. The cubic root of 75690 is about 42.3005650210.

The spelling of 75690 in words is "seventy-five thousand, six hundred ninety".