72997 has 2 divisors, whose sum is σ = 72998. Its totient is φ = 72996.

The previous prime is 72977. The next prime is 73009. The reversal of 72997 is 79927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57121 + 15876 = 239^2 + 126^2 .

It is a cyclic number.

It is not a de Polignac number, because 72997 - 2⁷ = 72869 is a prime.

72997 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36498 + 36499.

It is an arithmetic number, because the mean of its divisors is an integer number (36499).

2⁷²⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

72997 is a deficient number, since it is larger than the sum of its proper divisors (1).

72997 is an equidigital number, since it uses as much as digits as its factorization.

72997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7938, while the sum is 34.

The square root of 72997 is about 270.1795699160. The cubic root of 72997 is about 41.7928194438.

The spelling of 72997 in words is "seventy-two thousand, nine hundred ninety-seven".