72706127 has 16 divisors (see below), whose sum is σ = 83280960. Its totient is φ = 62879232.

The previous prime is 72706111. The next prime is 72706157. The reversal of 72706127 is 72160727.

It is a happy number.

It is not a de Polignac number, because 72706127 - 2⁴ = 72706111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72706093 and 72706102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72706157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58838 + ... + 60060.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2^72706127 is an apocalyptic number.

72706127 is a deficient number, since it is larger than the sum of its proper divisors (10574833).

72706127 is a wasteful number, since it uses less digits than its factorization.

72706127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522.

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 72706127 is about 8526.7887859381. The cubic root of 72706127 is about 417.3723457838.

The spelling of 72706127 in words is "seventy-two million, seven hundred six thousand, one hundred twenty-seven".