72140004127 has 8 divisors (see below), whose sum is σ = 72210320640. Its totient is φ = 72069724800.

The previous prime is 72140004107. The next prime is 72140004133.

72140004127 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 a de Polignac number, because none of the positive numbers 2^k-72140004127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72140004095 and 72140004104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72140004107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5178123 + ... + 5192035.

It is an arithmetic number, because the mean of its divisors is an integer number (9026290080).

Almost surely, 2^72140004127 is an apocalyptic number.

72140004127 is a deficient number, since it is larger than the sum of its proper divisors (70316513).

72140004127 is a wasteful number, since it uses less digits than its factorization.

72140004127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18593.

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

It can be divided in two parts, 7214000 and 4127, that added together give a palindrome (7218127).

The spelling of 72140004127 in words is "seventy-two billion, one hundred forty million, four thousand, one hundred twenty-seven".