227520720 has 180 divisors, whose sum is σ = 888977700. Its totient is φ = 51996672.

The previous prime is 227520719. The next prime is 227520721. The reversal of 227520720 is 27025722.

It is a happy number.

227520720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (227520719) and next prime (227520721).

It can be written as a sum of positive squares in 2 ways, for example, as 165173904 + 62346816 = 12852^2 + 7896^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×227520720³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227520721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32056 + ... + 38504.

It is an arithmetic number, because the mean of its divisors is an integer number (4938765).

Almost surely, 2^227520720 is an apocalyptic number.

227520720 is a gapful number since it is divisible by the number (20) 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 227520720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444488850).

227520720 is an abundant number, since it is smaller than the sum of its proper divisors (661456980).

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

227520720 is a wasteful number, since it uses less digits than its factorization.

227520720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 227520720 is about 15083.7899746715. The cubic root of 227520720 is about 610.4831073892.

The spelling of 227520720 in words is "two hundred twenty-seven million, five hundred twenty thousand, seven hundred twenty".