72122033 has 2 divisors, whose sum is σ = 72122034. Its totient is φ = 72122032.

The previous prime is 72122009. The next prime is 72122047. The reversal of 72122033 is 33022127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68029504 + 4092529 = 8248^2 + 2023^2 .

It is a cyclic number.

It is not a de Polignac number, because 72122033 - 2⁶ = 72121969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72121996 and 72122014.

It is not a weakly prime, because it can be changed into another prime (72122053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36061016 + 36061017.

It is an arithmetic number, because the mean of its divisors is an integer number (36061017).

Almost surely, 2^72122033 is an apocalyptic number.

It is an amenable number.

72122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

72122033 is an equidigital number, since it uses as much as digits as its factorization.

72122033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 72122033 is about 8492.4691933501. The cubic root of 72122033 is about 416.2516679375.

The spelling of 72122033 in words is "seventy-two million, one hundred twenty-two thousand, thirty-three".