72122333 has 8 divisors (see below), whose sum is σ = 74763480. Its totient is φ = 69491520.

The previous prime is 72122329. The next prime is 72122341. The reversal of 72122333 is 33322127.

It can be written as a sum of positive squares in 4 ways, for example, as 669124 + 71453209 = 818^2 + 8453^2 .

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 72122333 - 2² = 72122329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72122299 and 72122308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72122033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13391 + ... + 17987.

It is an arithmetic number, because the mean of its divisors is an integer number (9345435).

Almost surely, 2^72122333 is an apocalyptic number.

It is an amenable number.

72122333 is a deficient number, since it is larger than the sum of its proper divisors (2641147).

72122333 is a wasteful number, since it uses less digits than its factorization.

72122333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167.

The product of its digits is 1512, while the sum is 23.

The square root of 72122333 is about 8492.4868560393. The cubic root of 72122333 is about 416.2522450858.

The spelling of 72122333 in words is "seventy-two million, one hundred twenty-two thousand, three hundred thirty-three".