72512773 has 2 divisors, whose sum is σ = 72512774. Its totient is φ = 72512772.

The previous prime is 72512771. The next prime is 72512819. The reversal of 72512773 is 37721527.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68178049 + 4334724 = 8257^2 + 2082^2 .

It is an emirp because it is prime and its reverse (37721527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72512773 - 2¹ = 72512771 is a prime.

Together with 72512771, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72512771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36256386 + 36256387.

It is an arithmetic number, because the mean of its divisors is an integer number (36256387).

Almost surely, 2^72512773 is an apocalyptic number.

It is an amenable number.

72512773 is a deficient number, since it is larger than the sum of its proper divisors (1).

72512773 is an equidigital number, since it uses as much as digits as its factorization.

72512773 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20580, while the sum is 34.

The square root of 72512773 is about 8515.4432063164. The cubic root of 72512773 is about 417.0020319377.

The spelling of 72512773 in words is "seventy-two million, five hundred twelve thousand, seven hundred seventy-three".