72642307127 has 8 divisors (see below), whose sum is σ = 78235009776. Its totient is φ = 67050294912.

The previous prime is 72642307093. The next prime is 72642307189. The reversal of 72642307127 is 72170324627.

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 72642307127 - 2¹² = 72642303031 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 (72642397127) 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, 57263 + ... + 385439.

It is an arithmetic number, because the mean of its divisors is an integer number (9779376222).

Almost surely, 2^72642307127 is an apocalyptic number.

72642307127 is a deficient number, since it is larger than the sum of its proper divisors (5592702649).

72642307127 is a wasteful number, since it uses less digits than its factorization.

72642307127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345217.

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 72642307127 in words is "seventy-two billion, six hundred forty-two million, three hundred seven thousand, one hundred twenty-seven".