72155133 has 12 divisors (see below), whose sum is σ = 105147900. Its totient is φ = 47677056.

The previous prime is 72155113. The next prime is 72155183. The reversal of 72155133 is 33155127.

It can be written as a sum of positive squares in 2 ways, for example, as 22071204 + 50083929 = 4698^2 + 7077^2 .

It is not a de Polignac number, because 72155133 - 2⁸ = 72154877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72155097 and 72155106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72155113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34458 + ... + 36491.

It is an arithmetic number, because the mean of its divisors is an integer number (8762325).

Almost surely, 2^72155133 is an apocalyptic number.

It is an amenable number.

72155133 is a deficient number, since it is larger than the sum of its proper divisors (32992767).

72155133 is a wasteful number, since it uses less digits than its factorization.

72155133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71068 (or 71065 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 72155133 is about 8494.4177552084. The cubic root of 72155133 is about 416.3153369829.

The spelling of 72155133 in words is "seventy-two million, one hundred fifty-five thousand, one hundred thirty-three".