72681 has 8 divisors (see below), whose sum is σ = 110784. Its totient is φ = 41520.

The previous prime is 72679. The next prime is 72689. The reversal of 72681 is 18627.

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

It is not a de Polignac number, because 72681 - 2¹ = 72679 is a prime.

It is a super-2 number, since 2×72681² = 10565055522, which contains 22 as substring.

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72681.

It is not an unprimeable number, because it can be changed into a prime (72689) 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, 1710 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (13848).

2⁷²⁶⁸¹ is an apocalyptic number.

It is an amenable number.

72681 is a deficient number, since it is larger than the sum of its proper divisors (38103).

72681 is a wasteful number, since it uses less digits than its factorization.

72681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471.

The product of its digits is 672, while the sum is 24.

The square root of 72681 is about 269.5941394022. The cubic root of 72681 is about 41.7324259404.

The spelling of 72681 in words is "seventy-two thousand, six hundred eighty-one".