72416333 has 8 divisors (see below), whose sum is σ = 80295456. Its totient is φ = 64753200.

The previous prime is 72416329. The next prime is 72416339. The reversal of 72416333 is 33361427.

It is a happy number.

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 72416333 - 2² = 72416329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72416296 and 72416305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416339) 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, 53291 + ... + 54632.

It is an arithmetic number, because the mean of its divisors is an integer number (10036932).

Almost surely, 2^72416333 is an apocalyptic number.

It is an amenable number.

72416333 is a deficient number, since it is larger than the sum of its proper divisors (7879123).

72416333 is a wasteful number, since it uses less digits than its factorization.

72416333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107995.

The product of its digits is 9072, while the sum is 29.

The square root of 72416333 is about 8509.7786692722. The cubic root of 72416333 is about 416.8170828312.

The spelling of 72416333 in words is "seventy-two million, four hundred sixteen thousand, three hundred thirty-three".