72126667 has 12 divisors (see below), whose sum is σ = 74805768. Its totient is φ = 69536000.

The previous prime is 72126617. The next prime is 72126671. The reversal of 72126667 is 76662127.

It is not a de Polignac number, because 72126667 - 2⁷ = 72126539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72126617) 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 11 ways as a sum of consecutive naturals, for example, 179667 + ... + 180067.

It is an arithmetic number, because the mean of its divisors is an integer number (6233814).

Almost surely, 2^72126667 is an apocalyptic number.

72126667 is a deficient number, since it is larger than the sum of its proper divisors (2679101).

72126667 is a wasteful number, since it uses less digits than its factorization.

72126667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 549 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 72126667 is about 8492.7420189242. The cubic root of 72126667 is about 416.2605827764.

The spelling of 72126667 in words is "seventy-two million, one hundred twenty-six thousand, six hundred sixty-seven".