72256766 has 32 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 32881536.

The previous prime is 72256763. The next prime is 72256837. The reversal of 72256766 is 66765227.

It is a happy number.

It is a super-4 number, since 4×72256766⁴ (a number of 33 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72256763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164375 + ... + 164813.

It is an arithmetic number, because the mean of its divisors is an integer number (3706560).

Almost surely, 2^72256766 is an apocalyptic number.

72256766 is a deficient number, since it is larger than the sum of its proper divisors (46353154).

72256766 is a wasteful number, since it uses less digits than its factorization.

72256766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608.

The product of its digits is 211680, while the sum is 41.

The square root of 72256766 is about 8500.3979906826. The cubic root of 72256766 is about 416.5107101312.

The spelling of 72256766 in words is "seventy-two million, two hundred fifty-six thousand, seven hundred sixty-six".