73801 has 8 divisors (see below), whose sum is σ = 90944. Its totient is φ = 58320.

The previous prime is 73783. The next prime is 73819. The reversal of 73801 is 10837.

It is an interprime number because it is at equal distance from previous prime (73783) and next prime (73819).

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

It is a 3-Lehmer number, since φ(73801) divides (73801-1)³.

It is a cyclic number.

It is not a de Polignac number, because 73801 - 2⁷ = 73673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315 + ... + 496.

It is an arithmetic number, because the mean of its divisors is an integer number (11368).

2⁷³⁸⁰¹ is an apocalyptic number.

It is an amenable number.

73801 is a deficient number, since it is larger than the sum of its proper divisors (17143).

73801 is a wasteful number, since it uses less digits than its factorization.

73801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 73801 is about 271.6633946633. The cubic root of 73801 is about 41.9456970162.

It can be divided in two parts, 7380 and 1, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 73801 in words is "seventy-three thousand, eight hundred one".