72998257 has 2 divisors, whose sum is σ = 72998258. Its totient is φ = 72998256.

The previous prime is 72998243. The next prime is 72998269. The reversal of 72998257 is 75289927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68293696 + 4704561 = 8264^2 + 2169^2 .

It is an emirp because it is prime and its reverse (75289927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72998257 - 2⁷ = 72998129 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72998257.

It is not a weakly prime, because it can be changed into another prime (72998207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36499128 + 36499129.

It is an arithmetic number, because the mean of its divisors is an integer number (36499129).

Almost surely, 2^72998257 is an apocalyptic number.

It is an amenable number.

72998257 is a deficient number, since it is larger than the sum of its proper divisors (1).

72998257 is an equidigital number, since it uses as much as digits as its factorization.

72998257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 635040, while the sum is 49.

The square root of 72998257 is about 8543.9017433489. The cubic root of 72998257 is about 417.9305933157.

The spelling of 72998257 in words is "seventy-two million, nine hundred ninety-eight thousand, two hundred fifty-seven".