75951 has 16 divisors (see below), whose sum is σ = 117600. Its totient is φ = 48384.

The previous prime is 75941. The next prime is 75967. The reversal of 75951 is 15957.

75951 = 6³ + 7³ + ... + 23³.

It is not a de Polignac number, because 75951 - 2¹³ = 67759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (7350).

2⁷⁵⁹⁵¹ is an apocalyptic number.

75951 is a deficient number, since it is larger than the sum of its proper divisors (41649).

75951 is a wasteful number, since it uses less digits than its factorization.

75951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 75951 is about 275.5920898720. The cubic root of 75951 is about 42.3491305804.

The spelling of 75951 in words is "seventy-five thousand, nine hundred fifty-one".