72824137 has 2 divisors, whose sum is σ = 72824138. Its totient is φ = 72824136.

The previous prime is 72824123. The next prime is 72824153. The reversal of 72824137 is 73142827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71503936 + 1320201 = 8456^2 + 1149^2 .

It is a cyclic number.

It is not a de Polignac number, because 72824137 - 2¹¹ = 72822089 is a prime.

It is not a weakly prime, because it can be changed into another prime (72824537) 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, 36412068 + 36412069.

It is an arithmetic number, because the mean of its divisors is an integer number (36412069).

Almost surely, 2^72824137 is an apocalyptic number.

It is an amenable number.

72824137 is a deficient number, since it is larger than the sum of its proper divisors (1).

72824137 is an equidigital number, since it uses as much as digits as its factorization.

72824137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18816, while the sum is 34.

The square root of 72824137 is about 8533.7059358757. The cubic root of 72824137 is about 417.5980373832.

The spelling of 72824137 in words is "seventy-two million, eight hundred twenty-four thousand, one hundred thirty-seven".