72824833 has 2 divisors, whose sum is σ = 72824834. Its totient is φ = 72824832.

The previous prime is 72824813. The next prime is 72824837. The reversal of 72824833 is 33842827.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72029169 + 795664 = 8487^2 + 892^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72824833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72824792 and 72824801.

It is not a weakly prime, because it can be changed into another prime (72824837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36412416 + 36412417.

It is an arithmetic number, because the mean of its divisors is an integer number (36412417).

Almost surely, 2^72824833 is an apocalyptic number.

It is an amenable number.

72824833 is a deficient number, since it is larger than the sum of its proper divisors (1).

72824833 is an equidigital number, since it uses as much as digits as its factorization.

72824833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 64512, while the sum is 37.

The square root of 72824833 is about 8533.7467152476. The cubic root of 72824833 is about 417.5993677448.

The spelling of 72824833 in words is "seventy-two million, eight hundred twenty-four thousand, eight hundred thirty-three".