75750 has 32 divisors (see below), whose sum is σ = 190944. Its totient is φ = 20000.

The previous prime is 75743. The next prime is 75767. The reversal of 75750 is 5757.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 75750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (5967).

2⁷⁵⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95472).

75750 is an abundant number, since it is smaller than the sum of its proper divisors (115194).

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

75750 is a wasteful number, since it uses less digits than its factorization.

75750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 75750 is about 275.2271788905. The cubic root of 75750 is about 42.3117393882.

The spelling of 75750 in words is "seventy-five thousand, seven hundred fifty".