72133311 has 8 divisors (see below), whose sum is σ = 99280384. Its totient is φ = 46537560.

The previous prime is 72133289. The next prime is 72133349. The reversal of 72133311 is 11333127.

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

It is not a de Polignac number, because 72133311 - 2⁵ = 72133279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72133361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387721 + ... + 387906.

It is an arithmetic number, because the mean of its divisors is an integer number (12410048).

Almost surely, 2^72133311 is an apocalyptic number.

72133311 is a deficient number, since it is larger than the sum of its proper divisors (27147073).

72133311 is a wasteful number, since it uses less digits than its factorization.

72133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775661.

The product of its digits is 378, while the sum is 21.

The square root of 72133311 is about 8493.1331674477. The cubic root of 72133311 is about 416.2733637654.

Adding to 72133311 its reverse (11333127), we get a palindrome (83466438).

The spelling of 72133311 in words is "seventy-two million, one hundred thirty-three thousand, three hundred eleven".