72228 has 24 divisors (see below), whose sum is σ = 181888. Its totient is φ = 22176.

The previous prime is 72227. The next prime is 72229. The reversal of 72228 is 82227.

It is an interprime number because it is at equal distance from previous prime (72227) and next prime (72229).

It is not an unprimeable number, because it can be changed into a prime (72221) 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, 76 + ... + 387.

2⁷²²²⁸ is an apocalyptic number.

72228 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72228 is an abundant number, since it is smaller than the sum of its proper divisors (109660).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90944).

72228 is a wasteful number, since it uses less digits than its factorization.

72228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 72228 is about 268.7526744053. The cubic root of 72228 is about 41.6455430706.

Subtracting 72228 from its reverse (82227), we obtain a palindrome (9999).

It can be divided in two parts, 72 and 228, that added together give a triangular number (300 = T₂₄).

The spelling of 72228 in words is "seventy-two thousand, two hundred twenty-eight".