72133127 has 4 divisors (see below), whose sum is σ = 78690696. Its totient is φ = 65575560.

The previous prime is 72133123. The next prime is 72133147.

72133127 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72133127 - 2² = 72133123 is a prime.

It is a super-3 number, since 3×72133127³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72133096 and 72133105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72133123) 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 3 ways as a sum of consecutive naturals, for example, 3278768 + ... + 3278789.

It is an arithmetic number, because the mean of its divisors is an integer number (19672674).

Almost surely, 2^72133127 is an apocalyptic number.

72133127 is a deficient number, since it is larger than the sum of its proper divisors (6557569).

72133127 is a wasteful number, since it uses less digits than its factorization.

72133127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557568.

The product of its digits is 1764, while the sum is 26.

The square root of 72133127 is about 8493.1223351604. The cubic root of 72133127 is about 416.2730098172.

The spelling of 72133127 in words is "seventy-two million, one hundred thirty-three thousand, one hundred twenty-seven".