80072033 has 8 divisors (see below), whose sum is σ = 82669608. Its totient is φ = 77497344.

The previous prime is 80072017. The next prime is 80072051. The reversal of 80072033 is 33027008.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 77141089 = 1712^2 + 8783^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 80072033 - 2⁴ = 80072017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (80072233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1535 + ... + 12747.

It is an arithmetic number, because the mean of its divisors is an integer number (10333701).

Almost surely, 2^80072033 is an apocalyptic number.

It is an amenable number.

80072033 is a deficient number, since it is larger than the sum of its proper divisors (2597575).

80072033 is a wasteful number, since it uses less digits than its factorization.

80072033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11443.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 80072033 is about 8948.2977710847. The cubic root of 80072033 is about 431.0162245388.

The spelling of 80072033 in words is "eighty million, seventy-two thousand, thirty-three".