72797 has 2 divisors, whose sum is σ = 72798. Its totient is φ = 72796.

The previous prime is 72767. The next prime is 72817. The reversal of 72797 is 79727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 8281 = 254^2 + 91^2 .

72797 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 72797 - 2⁶ = 72733 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36398 + 36399.

It is an arithmetic number, because the mean of its divisors is an integer number (36399).

2⁷²⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

72797 is a deficient number, since it is larger than the sum of its proper divisors (1).

72797 is an equidigital number, since it uses as much as digits as its factorization.

72797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6174, while the sum is 32.

The square root of 72797 is about 269.8091918375. The cubic root of 72797 is about 41.7546160051.

The spelling of 72797 in words is "seventy-two thousand, seven hundred ninety-seven".