72506723 has 2 divisors, whose sum is σ = 72506724. Its totient is φ = 72506722.

The previous prime is 72506701. The next prime is 72506743. The reversal of 72506723 is 32760527.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (32760527) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72506723 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72506723.

It is not a weakly prime, because it can be changed into another prime (72506743) 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, 36253361 + 36253362.

It is an arithmetic number, because the mean of its divisors is an integer number (36253362).

Almost surely, 2^72506723 is an apocalyptic number.

72506723 is a deficient number, since it is larger than the sum of its proper divisors (1).

72506723 is an equidigital number, since it uses as much as digits as its factorization.

72506723 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 72506723 is about 8515.0879619649. The cubic root of 72506723 is about 416.9904342915.

The spelling of 72506723 in words is "seventy-two million, five hundred six thousand, seven hundred twenty-three".