72679 has 2 divisors, whose sum is σ = 72680. Its totient is φ = 72678.

The previous prime is 72673. The next prime is 72689. The reversal of 72679 is 97627.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72679 - 2³ = 72671 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72679.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72671) 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 as a sum of consecutive naturals, namely, 36339 + 36340.

It is an arithmetic number, because the mean of its divisors is an integer number (36340).

2⁷²⁶⁷⁹ is an apocalyptic number.

72679 is a deficient number, since it is larger than the sum of its proper divisors (1).

72679 is an equidigital number, since it uses as much as digits as its factorization.

72679 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292, while the sum is 31.

The square root of 72679 is about 269.5904300972. The cubic root of 72679 is about 41.7320431461.

The spelling of 72679 in words is "seventy-two thousand, six hundred seventy-nine".