72766001 has 16 divisors (see below), whose sum is σ = 96059520. Its totient is φ = 53364480.

The previous prime is 72765989. The next prime is 72766003. The reversal of 72766001 is 10066727.

It is a cyclic number.

It is not a de Polignac number, because 72766001 - 2⁶ = 72765937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72766003) 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 15 ways as a sum of consecutive naturals, for example, 26486 + ... + 29103.

It is an arithmetic number, because the mean of its divisors is an integer number (6003720).

Almost surely, 2^72766001 is an apocalyptic number.

It is an amenable number.

72766001 is a deficient number, since it is larger than the sum of its proper divisors (23293519).

72766001 is a wasteful number, since it uses less digits than its factorization.

72766001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55624.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 72766001 is about 8530.2989982767. The cubic root of 72766001 is about 417.4868840227.

The spelling of 72766001 in words is "seventy-two million, seven hundred sixty-six thousand, one".