72945033 has 16 divisors (see below), whose sum is σ = 111323520. Its totient is φ = 41619456.

The previous prime is 72945007. The next prime is 72945043. The reversal of 72945033 is 33054927.

It is a happy number.

It is not a de Polignac number, because 72945033 - 2²² = 68750729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72944985 and 72945003.

It is not an unprimeable number, because it can be changed into a prime (72945043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13891 + ... + 18407.

It is an arithmetic number, because the mean of its divisors is an integer number (6957720).

Almost surely, 2^72945033 is an apocalyptic number.

It is an amenable number.

72945033 is a deficient number, since it is larger than the sum of its proper divisors (38378487).

72945033 is a wasteful number, since it uses less digits than its factorization.

72945033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 72945033 is about 8540.7864391987. The cubic root of 72945033 is about 417.8289957017.

The spelling of 72945033 in words is "seventy-two million, nine hundred forty-five thousand, thirty-three".