72827749 has 2 divisors, whose sum is σ = 72827750. Its totient is φ = 72827748.

The previous prime is 72827719. The next prime is 72827789. The reversal of 72827749 is 94772827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40132225 + 32695524 = 6335^2 + 5718^2 .

It is a cyclic number.

It is not a de Polignac number, because 72827749 - 2⁷ = 72827621 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72827699 and 72827708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72827719) 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, 36413874 + 36413875.

It is an arithmetic number, because the mean of its divisors is an integer number (36413875).

Almost surely, 2^72827749 is an apocalyptic number.

It is an amenable number.

72827749 is a deficient number, since it is larger than the sum of its proper divisors (1).

72827749 is an equidigital number, since it uses as much as digits as its factorization.

72827749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 395136, while the sum is 46.

The square root of 72827749 is about 8533.9175646358. The cubic root of 72827749 is about 417.6049414090.

The spelling of 72827749 in words is "seventy-two million, eight hundred twenty-seven thousand, seven hundred forty-nine".