72000497 has 2 divisors, whose sum is σ = 72000498. Its totient is φ = 72000496.

The previous prime is 72000479. The next prime is 72000499. The reversal of 72000497 is 79400027.

Together with previous prime (72000479) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71639296 + 361201 = 8464^2 + 601^2 .

It is a cyclic number.

It is not a de Polignac number, because 72000497 - 2⁸ = 72000241 is a prime.

Together with 72000499, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72000499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36000248 + 36000249.

It is an arithmetic number, because the mean of its divisors is an integer number (36000249).

Almost surely, 2^72000497 is an apocalyptic number.

It is an amenable number.

72000497 is a deficient number, since it is larger than the sum of its proper divisors (1).

72000497 is an equidigital number, since it uses as much as digits as its factorization.

72000497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 72000497 is about 8485.3106601939. The cubic root of 72000497 is about 416.0177218319.

The spelling of 72000497 in words is "seventy-two million, four hundred ninety-seven", and thus it is an aban number.