33072073 has 2 divisors, whose sum is σ = 33072074. Its totient is φ = 33072072.

The previous prime is 33072059. The next prime is 33072077. The reversal of 33072073 is 37027033.

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., 27910089 + 5161984 = 5283^2 + 2272^2 .

It is a cyclic number.

It is not a de Polignac number, because 33072073 - 2⁵ = 33072041 is a prime.

It is not a weakly prime, because it can be changed into another prime (33072077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16536036 + 16536037.

It is an arithmetic number, because the mean of its divisors is an integer number (16536037).

Almost surely, 2^33072073 is an apocalyptic number.

It is an amenable number.

33072073 is a deficient number, since it is larger than the sum of its proper divisors (1).

33072073 is an equidigital number, since it uses as much as digits as its factorization.

33072073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2646, while the sum is 25.

The square root of 33072073 is about 5750.8323745350. The cubic root of 33072073 is about 320.9867749458.

The spelling of 33072073 in words is "thirty-three million, seventy-two thousand, seventy-three".