72667 has 6 divisors (see below), whose sum is σ = 84588. Its totient is φ = 62244.

The previous prime is 72661. The next prime is 72671. The reversal of 72667 is 76627.

72667 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 72667 - 2¹¹ = 70619 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (72661) 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 5 ways as a sum of consecutive naturals, for example, 693 + ... + 790.

It is an arithmetic number, because the mean of its divisors is an integer number (14098).

2⁷²⁶⁶⁷ is an apocalyptic number.

72667 is a deficient number, since it is larger than the sum of its proper divisors (11921).

72667 is a wasteful number, since it uses less digits than its factorization.

72667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1490 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 72667 is about 269.5681731956. The cubic root of 72667 is about 41.7297462328.

The spelling of 72667 in words is "seventy-two thousand, six hundred sixty-seven".