72155127 has 8 divisors (see below), whose sum is σ = 104952960. Its totient is φ = 43730360.

The previous prime is 72155113. The next prime is 72155183.

72155127 is nontrivially palindromic in base 10.

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 72155127 - 2¹¹ = 72153079 is a prime.

It is a super-3 number, since 3×72155127³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 72155094 and 72155103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72155627) 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 7 ways as a sum of consecutive naturals, for example, 1093227 + ... + 1093292.

It is an arithmetic number, because the mean of its divisors is an integer number (13119120).

Almost surely, 2^72155127 is an apocalyptic number.

72155127 is a deficient number, since it is larger than the sum of its proper divisors (32797833).

72155127 is a wasteful number, since it uses less digits than its factorization.

72155127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186533.

The product of its digits is 4900, while the sum is 30.

The square root of 72155127 is about 8494.4174020353. The cubic root of 72155127 is about 416.3153254435.

The spelling of 72155127 in words is "seventy-two million, one hundred fifty-five thousand, one hundred twenty-seven".