72067333 has 8 divisors (see below), whose sum is σ = 79076088. Its totient is φ = 65267904.

The previous prime is 72067321. The next prime is 72067337. The reversal of 72067333 is 33376027.

It can be written as a sum of positive squares in 4 ways, for example, as 3392964 + 68674369 = 1842^2 + 8287^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-72067333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72067295 and 72067304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72067337) 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 7 ways as a sum of consecutive naturals, for example, 51610 + ... + 52987.

It is an arithmetic number, because the mean of its divisors is an integer number (9884511).

Almost surely, 2^72067333 is an apocalyptic number.

It is an amenable number.

72067333 is a deficient number, since it is larger than the sum of its proper divisors (7008755).

72067333 is a wasteful number, since it uses less digits than its factorization.

72067333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104663.

The product of its (nonzero) digits is 15876, while the sum is 31.

The square root of 72067333 is about 8489.2480821331. The cubic root of 72067333 is about 416.1464078019.

The spelling of 72067333 in words is "seventy-two million, sixty-seven thousand, three hundred thirty-three".