72288033 has 4 divisors (see below), whose sum is σ = 96384048. Its totient is φ = 48192020.

The previous prime is 72287993. The next prime is 72288053. The reversal of 72288033 is 33088227.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72288033 - 2⁹ = 72287521 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72287985 and 72288003.

It is not an unprimeable number, because it can be changed into a prime (72288053) 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 3 ways as a sum of consecutive naturals, for example, 12048003 + ... + 12048008.

It is an arithmetic number, because the mean of its divisors is an integer number (24096012).

Almost surely, 2^72288033 is an apocalyptic number.

It is an amenable number.

72288033 is a deficient number, since it is larger than the sum of its proper divisors (24096015).

72288033 is a wasteful number, since it uses less digits than its factorization.

72288033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24096014.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 72288033 is about 8502.2369409468. The cubic root of 72288033 is about 416.5707790728.

The spelling of 72288033 in words is "seventy-two million, two hundred eighty-eight thousand, thirty-three".