72255672 has 64 divisors (see below), whose sum is σ = 206157600. Its totient is φ = 23431680.

The previous prime is 72255647. The next prime is 72255679. The reversal of 72255672 is 27655227.

72255672 is a `hidden beast` number, since 72 + 25 + 567 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72255679) 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 15 ways as a sum of consecutive naturals, for example, 3472 + ... + 12512.

Almost surely, 2^72255672 is an apocalyptic number.

72255672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72255672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103078800).

72255672 is an abundant number, since it is smaller than the sum of its proper divisors (133901928).

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

72255672 is a wasteful number, since it uses less digits than its factorization.

72255672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9093 (or 9083 counting only the distinct ones).

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

The square root of 72255672 is about 8500.3336405108. Note that the first 3 decimals coincide. The cubic root of 72255672 is about 416.5086080673.

It can be divided in two parts, 72255 and 672, that added together give a palindrome (72927).

The spelling of 72255672 in words is "seventy-two million, two hundred fifty-five thousand, six hundred seventy-two".