72742513 has 2 divisors, whose sum is σ = 72742514. Its totient is φ = 72742512.

The previous prime is 72742493. The next prime is 72742543. The reversal of 72742513 is 31524727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72454144 + 288369 = 8512^2 + 537^2 .

It is a cyclic number.

It is not a de Polignac number, because 72742513 - 2⁹ = 72742001 is a prime.

It is not a weakly prime, because it can be changed into another prime (72742543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36371256 + 36371257.

It is an arithmetic number, because the mean of its divisors is an integer number (36371257).

Almost surely, 2^72742513 is an apocalyptic number.

It is an amenable number.

72742513 is a deficient number, since it is larger than the sum of its proper divisors (1).

72742513 is an equidigital number, since it uses as much as digits as its factorization.

72742513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11760, while the sum is 31.

The square root of 72742513 is about 8528.9221476104. The cubic root of 72742513 is about 417.4419592544.

The spelling of 72742513 in words is "seventy-two million, seven hundred forty-two thousand, five hundred thirteen".