72148244284127 has 12 divisors (see below), whose sum is σ = 80044595742888. Its totient is φ = 64976328740400.

The previous prime is 72148244284099. The next prime is 72148244284139.

72148244284127 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72148244284127 - 2¹⁰ = 72148244283103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72148244584127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2786279024 + ... + 2786304917.

It is an arithmetic number, because the mean of its divisors is an integer number (6670382978574).

Almost surely, 2^{72148244284127} is an apocalyptic number.

72148244284127 is a deficient number, since it is larger than the sum of its proper divisors (7896351458761).

72148244284127 is a wasteful number, since it uses less digits than its factorization.

72148244284127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572584070 (or 5572584059 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 56.

The spelling of 72148244284127 in words is "seventy-two trillion, one hundred forty-eight billion, two hundred forty-four million, two hundred eighty-four thousand, one hundred twenty-seven".