72657763 has 2 divisors, whose sum is σ = 72657764. Its totient is φ = 72657762.

The previous prime is 72657719. The next prime is 72657773. The reversal of 72657763 is 36775627.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72657763 - 2¹⁷ = 72526691 is a prime.

It is not a weakly prime, because it can be changed into another prime (72657773) 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, 36328881 + 36328882.

It is an arithmetic number, because the mean of its divisors is an integer number (36328882).

Almost surely, 2^72657763 is an apocalyptic number.

72657763 is a deficient number, since it is larger than the sum of its proper divisors (1).

72657763 is an equidigital number, since it uses as much as digits as its factorization.

72657763 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 370440, while the sum is 43.

The square root of 72657763 is about 8523.9523109881. The cubic root of 72657763 is about 417.2797801158.

The spelling of 72657763 in words is "seventy-two million, six hundred fifty-seven thousand, seven hundred sixty-three".