72797633 has 2 divisors, whose sum is σ = 72797634. Its totient is φ = 72797632.

The previous prime is 72797629. The next prime is 72797671. The reversal of 72797633 is 33679727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47224384 + 25573249 = 6872^2 + 5057^2 .

It is a cyclic number.

It is not a de Polignac number, because 72797633 - 2² = 72797629 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72797693) 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, 36398816 + 36398817.

It is an arithmetic number, because the mean of its divisors is an integer number (36398817).

Almost surely, 2^72797633 is an apocalyptic number.

It is an amenable number.

72797633 is a deficient number, since it is larger than the sum of its proper divisors (1).

72797633 is an equidigital number, since it uses as much as digits as its factorization.

72797633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 333396, while the sum is 44.

The square root of 72797633 is about 8532.1528936137. The cubic root of 72797633 is about 417.5473702929.

The spelling of 72797633 in words is "seventy-two million, seven hundred ninety-seven thousand, six hundred thirty-three".