75954 has 8 divisors (see below), whose sum is σ = 151920. Its totient is φ = 25316.

The previous prime is 75941. The next prime is 75967. The reversal of 75954 is 45957.

It is an interprime number because it is at equal distance from previous prime (75941) and next prime (75967).

It is a sphenic number, since it is the product of 3 distinct primes.

75954 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6324 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (18990).

2⁷⁵⁹⁵⁴ is an apocalyptic number.

75954 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (75960).

75954 is a wasteful number, since it uses less digits than its factorization.

75954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664.

The product of its digits is 6300, while the sum is 30.

The square root of 75954 is about 275.5975326450. The cubic root of 75954 is about 42.3496881579.

The spelling of 75954 in words is "seventy-five thousand, nine hundred fifty-four".