72106767 has 20 divisors (see below), whose sum is σ = 113386680. Its totient is φ = 45540144.

The previous prime is 72106757. The next prime is 72106781. The reversal of 72106767 is 76760127.

It is not a de Polignac number, because 72106767 - 2⁴ = 72106751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72106757) 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 19 ways as a sum of consecutive naturals, for example, 21888 + ... + 24965.

It is an arithmetic number, because the mean of its divisors is an integer number (5669334).

Almost surely, 2^72106767 is an apocalyptic number.

72106767 is a deficient number, since it is larger than the sum of its proper divisors (41279913).

72106767 is a wasteful number, since it uses less digits than its factorization.

72106767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46884 (or 46875 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 72106767 is about 8491.5703494701. The cubic root of 72106767 is about 416.2222966710. Note that the first 4 decimals are identical.

The spelling of 72106767 in words is "seventy-two million, one hundred six thousand, seven hundred sixty-seven".