72255906 has 12 divisors (see below), whose sum is σ = 156554502. Its totient is φ = 24085296.

The previous prime is 72255889. The next prime is 72255959. The reversal of 72255906 is 60955227.

72255906 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 63345681 + 8910225 = 7959^2 + 2985^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2007091 + ... + 2007126.

Almost surely, 2^72255906 is an apocalyptic number.

72255906 is an abundant number, since it is smaller than the sum of its proper divisors (84298596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72255906 is a wasteful number, since it uses less digits than its factorization.

72255906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014225 (or 4014222 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 72255906 is about 8500.3474046653. The cubic root of 72255906 is about 416.5090576879.

It can be divided in two parts, 7225 and 5906, that added together give a palindrome (13131).

The spelling of 72255906 in words is "seventy-two million, two hundred fifty-five thousand, nine hundred six".