72228160 has 56 divisors (see below), whose sum is σ = 173406816. Its totient is φ = 28654080.

The previous prime is 72228151. The next prime is 72228161. The reversal of 72228160 is 6182227.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72228161) 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, 41059 + ... + 42781.

Almost surely, 2^72228160 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 72228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86703408).

72228160 is an abundant number, since it is smaller than the sum of its proper divisors (101178656).

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

72228160 is a wasteful number, since it uses less digits than its factorization.

72228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 72228160 is about 8498.7151970165. The cubic root of 72228160 is about 416.4557382179.

It can be divided in two parts, 722 and 28160, that added together give a palindrome (28882).

The spelling of 72228160 in words is "seventy-two million, two hundred twenty-eight thousand, one hundred sixty".