73761 has 8 divisors (see below), whose sum is σ = 102720. Its totient is φ = 46992.

The previous prime is 73757. The next prime is 73771. The reversal of 73761 is 16737.

73761 is nontrivially palindromic in base 4 and base 16.

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

It is not a de Polignac number, because 73761 - 2² = 73757 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (73721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (12840).

2⁷³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

73761 is a deficient number, since it is larger than the sum of its proper divisors (28959).

73761 is a wasteful number, since it uses less digits than its factorization.

73761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095.

The product of its digits is 882, while the sum is 24.

The square root of 73761 is about 271.5897641665. The cubic root of 73761 is about 41.9381174843.

Subtracting from 73761 its sum of digits (24), we obtain a palindrome (73737).

The spelling of 73761 in words is "seventy-three thousand, seven hundred sixty-one".