72366133 has 16 divisors (see below), whose sum is σ = 84602880. Its totient is φ = 60620976.

The previous prime is 72366109. The next prime is 72366139. The reversal of 72366133 is 33166327.

It is a cyclic number.

It is not a de Polignac number, because 72366133 - 2⁵ = 72366101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72366095 and 72366104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72366139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58560 + ... + 59782.

It is an arithmetic number, because the mean of its divisors is an integer number (5287680).

Almost surely, 2^72366133 is an apocalyptic number.

It is an amenable number.

72366133 is a deficient number, since it is larger than the sum of its proper divisors (12236747).

72366133 is a wasteful number, since it uses less digits than its factorization.

72366133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416.

The product of its digits is 13608, while the sum is 31.

The square root of 72366133 is about 8506.8286100050. The cubic root of 72366133 is about 416.7207461185.

The spelling of 72366133 in words is "seventy-two million, three hundred sixty-six thousand, one hundred thirty-three".