227628072 has 96 divisors (see below), whose sum is σ = 713606400. Its totient is φ = 64202112.

The previous prime is 227628067. The next prime is 227628073. The reversal of 227628072 is 270826722.

227628072 is a `hidden beast` number, since 2 + 27 + 628 + 0 + 7 + 2 = 666.

It is a super-3 number, since 3×227628072³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (227628073) 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, 36958 + ... + 42674.

It is an arithmetic number, because the mean of its divisors is an integer number (7433400).

Almost surely, 2^227628072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227628072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356803200).

227628072 is an abundant number, since it is smaller than the sum of its proper divisors (485978328).

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

227628072 is a wasteful number, since it uses less digits than its factorization.

227628072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 227628072 is about 15087.3480771141. The cubic root of 227628072 is about 610.5791078439.

The spelling of 227628072 in words is "two hundred twenty-seven million, six hundred twenty-eight thousand, seventy-two".