72256128 has 64 divisors (see below), whose sum is σ = 219357120. Its totient is φ = 20643840.

The previous prime is 72256127. The next prime is 72256181. The reversal of 72256128 is 82165227.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72256127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10753 + ... + 16128.

It is an arithmetic number, because the mean of its divisors is an integer number (3427455).

Almost surely, 2^72256128 is an apocalyptic number.

It is an amenable number.

72256128 is an abundant number, since it is smaller than the sum of its proper divisors (147100992).

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

72256128 is a wasteful number, since it uses less digits than its factorization.

72256128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26905 (or 26893 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 72256128 is about 8500.3604629451. The cubic root of 72256128 is about 416.5094842501.

Subtracting 72256128 from its reverse (82165227), we obtain a palindrome (9909099).

The spelling of 72256128 in words is "seventy-two million, two hundred fifty-six thousand, one hundred twenty-eight".