72256033 has 2 divisors, whose sum is σ = 72256034. Its totient is φ = 72256032.

The previous prime is 72256021. The next prime is 72256049. The reversal of 72256033 is 33065227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69605649 + 2650384 = 8343^2 + 1628^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72256033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72255992 and 72256010.

It is not a weakly prime, because it can be changed into another prime (72256003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36128016 + 36128017.

It is an arithmetic number, because the mean of its divisors is an integer number (36128017).

Almost surely, 2^72256033 is an apocalyptic number.

It is an amenable number.

72256033 is a deficient number, since it is larger than the sum of its proper divisors (1).

72256033 is an equidigital number, since it uses as much as digits as its factorization.

72256033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 72256033 is about 8500.3548749449. The cubic root of 72256033 is about 416.5093017123.

The spelling of 72256033 in words is "seventy-two million, two hundred fifty-six thousand, thirty-three".