72127120317 has 64 divisors (see below), whose sum is σ = 112472064000. Its totient is φ = 40267319040.

The previous prime is 72127120301. The next prime is 72127120357. The reversal of 72127120317 is 71302172127.

It is not a de Polignac number, because 72127120317 - 2⁴ = 72127120301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72127120357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106538983 + ... + 106539659.

It is an arithmetic number, because the mean of its divisors is an integer number (1757376000).

Almost surely, 2^72127120317 is an apocalyptic number.

It is an amenable number.

72127120317 is a deficient number, since it is larger than the sum of its proper divisors (40344943683).

72127120317 is a wasteful number, since it uses less digits than its factorization.

72127120317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346.

The product of its (nonzero) digits is 8232, while the sum is 33.

The spelling of 72127120317 in words is "seventy-two billion, one hundred twenty-seven million, one hundred twenty thousand, three hundred seventeen".