72255627 has 24 divisors (see below), whose sum is σ = 115318944. Its totient is φ = 43363584.

The previous prime is 72255611. The next prime is 72255647. The reversal of 72255627 is 72655227.

72255627 is a `hidden beast` number, since 7 + 2 + 25 + 5 + 627 = 666.

It is not a de Polignac number, because 72255627 - 2⁴ = 72255611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72255591 and 72255600.

It is not an unprimeable number, because it can be changed into a prime (72255607) 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 23 ways as a sum of consecutive naturals, for example, 6748 + ... + 13785.

It is an arithmetic number, because the mean of its divisors is an integer number (4804956).

Almost surely, 2^72255627 is an apocalyptic number.

72255627 is a deficient number, since it is larger than the sum of its proper divisors (43063317).

72255627 is a wasteful number, since it uses less digits than its factorization.

72255627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20579 (or 20576 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 72255627 is about 8500.3309935555. The cubic root of 72255627 is about 416.5085216017.

The spelling of 72255627 in words is "seventy-two million, two hundred fifty-five thousand, six hundred twenty-seven".