72144127 has 8 divisors (see below), whose sum is σ = 78809472. Its totient is φ = 65496600.

The previous prime is 72144113. The next prime is 72144131.

72144127 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 72144127 - 2⁷ = 72143999 is a prime.

It is a super-3 number, since 3×72144127³ (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 = 72144095 and 72144104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72144427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4878 + ... + 12964.

It is an arithmetic number, because the mean of its divisors is an integer number (9851184).

Almost surely, 2^72144127 is an apocalyptic number.

72144127 is a deficient number, since it is larger than the sum of its proper divisors (6665345).

72144127 is a wasteful number, since it uses less digits than its factorization.

72144127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8909.

The product of its digits is 3136, while the sum is 28.

The square root of 72144127 is about 8493.7698932806. The cubic root of 72144127 is about 416.2941687057.

The spelling of 72144127 in words is "seventy-two million, one hundred forty-four thousand, one hundred twenty-seven".