75950 has 36 divisors (see below), whose sum is σ = 169632. Its totient is φ = 25200.

The previous prime is 75941. The next prime is 75967. The reversal of 75950 is 5957.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

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, 2435 + ... + 2465.

It is an arithmetic number, because the mean of its divisors is an integer number (4712).

2⁷⁵⁹⁵⁰ is an apocalyptic number.

75950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75950 is an abundant number, since it is smaller than the sum of its proper divisors (93682).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84816).

75950 is a wasteful number, since it uses less digits than its factorization.

75950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 75950 is about 275.5902755904. The cubic root of 75950 is about 42.3489447179.

It can be divided in two parts, 759 and 50, that multiplied together give a triangular number (37950 = T₂₇₅).

The spelling of 75950 in words is "seventy-five thousand, nine hundred fifty".