72497 has 2 divisors, whose sum is σ = 72498. Its totient is φ = 72496.

The previous prime is 72493. The next prime is 72503. The reversal of 72497 is 79427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57121 + 15376 = 239^2 + 124^2 .

It is an emirp because it is prime and its reverse (79427) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72497 - 2² = 72493 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 7² + 2³ + 4⁸ + 9⁴ + 7³ .

It is not a weakly prime, because it can be changed into another prime (72493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36248 + 36249.

It is an arithmetic number, because the mean of its divisors is an integer number (36249).

2⁷²⁴⁹⁷ is an apocalyptic number.

It is an amenable number.

72497 is a deficient number, since it is larger than the sum of its proper divisors (1).

72497 is an equidigital number, since it uses as much as digits as its factorization.

72497 is an evil number, because the sum of its binary digits is even.

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

The square root of 72497 is about 269.2526694389. The cubic root of 72497 is about 41.6971794276.

The spelling of 72497 in words is "seventy-two thousand, four hundred ninety-seven".