72100127 has 4 divisors (see below), whose sum is σ = 78654696. Its totient is φ = 65545560.

The previous prime is 72100123. The next prime is 72100153.

72100127 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 72100127 - 2² = 72100123 is a prime.

It is a super-2 number, since 2×72100127² = 10396856626832258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72100099 and 72100108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72100123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3277268 + ... + 3277289.

It is an arithmetic number, because the mean of its divisors is an integer number (19663674).

Almost surely, 2^72100127 is an apocalyptic number.

72100127 is a deficient number, since it is larger than the sum of its proper divisors (6554569).

72100127 is a wasteful number, since it uses less digits than its factorization.

72100127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554568.

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 72100127 is about 8491.1793644935. The cubic root of 72100127 is about 416.2095202424.

It can be divided in two parts, 72100 and 127, that added together give a palindrome (72227).

The spelling of 72100127 in words is "seventy-two million, one hundred thousand, one hundred twenty-seven".