73731 has 8 divisors (see below), whose sum is σ = 112384. Its totient is φ = 42120.

The previous prime is 73727. The next prime is 73751. The reversal of 73731 is 13737.

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

It is not a de Polignac number, because 73731 - 2² = 73727 is a prime.

It is a super-2 number, since 2×73731² = 10872520722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 3511 = 73731 / (7 + 3 + 7 + 3 + 1).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

73731 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 73698 and 73707.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73731.

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, 1735 + ... + 1776.

It is an arithmetic number, because the mean of its divisors is an integer number (14048).

2⁷³⁷³¹ is an apocalyptic number.

73731 is a deficient number, since it is larger than the sum of its proper divisors (38653).

73731 is a wasteful number, since it uses less digits than its factorization.

73731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521.

The product of its digits is 441, while the sum is 21.

The square root of 73731 is about 271.5345281912. The cubic root of 73731 is about 41.9324310369.

The spelling of 73731 in words is "seventy-three thousand, seven hundred thirty-one".