72256067 has 8 divisors (see below), whose sum is σ = 78331680. Its totient is φ = 66254400.

The previous prime is 72256049. The next prime is 72256097. The reversal of 72256067 is 76065227.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72256067 - 2⁶ = 72256003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72256097) 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 7 ways as a sum of consecutive naturals, for example, 16442 + ... + 20367.

It is an arithmetic number, because the mean of its divisors is an integer number (9791460).

Almost surely, 2^72256067 is an apocalyptic number.

72256067 is a deficient number, since it is larger than the sum of its proper divisors (6075613).

72256067 is a wasteful number, since it uses less digits than its factorization.

72256067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36973.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 72256067 is about 8500.3568748612. The cubic root of 72256067 is about 416.5093670416.

The spelling of 72256067 in words is "seventy-two million, two hundred fifty-six thousand, sixty-seven".