72497849 has 2 divisors, whose sum is σ = 72497850. Its totient is φ = 72497848.

The previous prime is 72497827. The next prime is 72497851. The reversal of 72497849 is 94879427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67240000 + 5257849 = 8200^2 + 2293^2 .

It is a cyclic number.

It is not a de Polignac number, because 72497849 - 2¹² = 72493753 is a prime.

Together with 72497851, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72497797 and 72497806.

It is not a weakly prime, because it can be changed into another prime (72497879) 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, 36248924 + 36248925.

It is an arithmetic number, because the mean of its divisors is an integer number (36248925).

Almost surely, 2^72497849 is an apocalyptic number.

It is an amenable number.

72497849 is a deficient number, since it is larger than the sum of its proper divisors (1).

72497849 is an equidigital number, since it uses as much as digits as its factorization.

72497849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 50.

The square root of 72497849 is about 8514.5668709571. The cubic root of 72497849 is about 416.9734219652.

The spelling of 72497849 in words is "seventy-two million, four hundred ninety-seven thousand, eight hundred forty-nine".