72218328 has 128 divisors (see below), whose sum is σ = 227673600. Its totient is φ = 18579456.

The previous prime is 72218309. The next prime is 72218353. The reversal of 72218328 is 82381227.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93528 + ... + 94296.

It is an arithmetic number, because the mean of its divisors is an integer number (1778700).

Almost surely, 2^72218328 is an apocalyptic number.

72218328 is a gapful number since it is divisible by the number (78) 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 72218328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113836800).

72218328 is an abundant number, since it is smaller than the sum of its proper divisors (155455272).

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

72218328 is a wasteful number, since it uses less digits than its factorization.

72218328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 837 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 72218328 is about 8498.1367369559. The cubic root of 72218328 is about 416.4368407932.

The spelling of 72218328 in words is "seventy-two million, two hundred eighteen thousand, three hundred twenty-eight".