73701 has 12 divisors (see below), whose sum is σ = 112320. Its totient is φ = 46440.

The previous prime is 73699. The next prime is 73709. The reversal of 73701 is 10737.

It is not a de Polignac number, because 73701 - 2¹ = 73699 is a prime.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73701.

It is not an unprimeable number, because it can be changed into a prime (73709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2⁷³⁷⁰¹ is an apocalyptic number.

It is an amenable number.

73701 is a deficient number, since it is larger than the sum of its proper divisors (38619).

73701 is a wasteful number, since it uses less digits than its factorization.

73701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 73701 is about 271.4792809774. The cubic root of 73701 is about 41.9267430468.

The spelling of 73701 in words is "seventy-three thousand, seven hundred one", and thus it is an iban number.