72127 has 8 divisors (see below), whose sum is σ = 80640. Its totient is φ = 63960.

The previous prime is 72109. The next prime is 72139.

72127 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 72127 - 2^{7} = 71999 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

72127 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72167) 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 7 ways as a sum of consecutive naturals, for example, 828 + ... + 910.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2^{72127} is an apocalyptic number.

72127 is a deficient number, since it is larger than the sum of its proper divisors (8513).

72127 is a wasteful number, since it uses less digits than its factorization.

72127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173.

The product of its digits is 196, while the sum is 19.

The square root of 72127 is about 268.5647035632. The cubic root of 72127 is about 41.6261223384.

The spelling of 72127 in words is "seventy-two thousand, one hundred twenty-seven", and thus it is an iban number.

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