72651233 has 2 divisors, whose sum is σ = 72651234. Its totient is φ = 72651232.

The previous prime is 72651211. The next prime is 72651253. The reversal of 72651233 is 33215627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53919649 + 18731584 = 7343^2 + 4328^2 .

It is a cyclic number.

It is not a de Polignac number, because 72651233 - 2⁶ = 72651169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72651196 and 72651205.

It is not a weakly prime, because it can be changed into another prime (72651253) 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, 36325616 + 36325617.

It is an arithmetic number, because the mean of its divisors is an integer number (36325617).

Almost surely, 2^72651233 is an apocalyptic number.

It is an amenable number.

72651233 is a deficient number, since it is larger than the sum of its proper divisors (1).

72651233 is an equidigital number, since it uses as much as digits as its factorization.

72651233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 29.

The square root of 72651233 is about 8523.5692641053. The cubic root of 72651233 is about 417.2672789575.

The spelling of 72651233 in words is "seventy-two million, six hundred fifty-one thousand, two hundred thirty-three".