72200033 has 2 divisors, whose sum is σ = 72200034. Its totient is φ = 72200032.

The previous prime is 72200021. The next prime is 72200039. The reversal of 72200033 is 33000227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72199009 + 1024 = 8497^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 72200033 - 2²⁴ = 55422817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72199984 and 72200020.

It is not a weakly prime, because it can be changed into another prime (72200039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36100016 + 36100017.

It is an arithmetic number, because the mean of its divisors is an integer number (36100017).

Almost surely, 2^72200033 is an apocalyptic number.

It is an amenable number.

72200033 is a deficient number, since it is larger than the sum of its proper divisors (1).

72200033 is an equidigital number, since it uses as much as digits as its factorization.

72200033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 72200033 is about 8497.0602563475. The cubic root of 72200033 is about 416.4016726411.

The spelling of 72200033 in words is "seventy-two million, two hundred thousand, thirty-three".