72327168 has 140 divisors (see below), whose sum is σ = 218057730. Its totient is φ = 23887872.

The previous prime is 72327071. The next prime is 72327169. The reversal of 72327168 is 86172327.

It can be written as a sum of positive squares in only one way, i.e., 56070144 + 16257024 = 7488^2 + 4032^2 .

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

Its product of digits (28224) is a multiple of the sum of its prime factors (147).

It is not an unprimeable number, because it can be changed into a prime (72327169) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663498 + ... + 663606.

Almost surely, 2^72327168 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 72327168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109028865).

72327168 is an abundant number, since it is smaller than the sum of its proper divisors (145730562).

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

72327168 is an equidigital number, since it uses as much as digits as its factorization.

72327168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72327168 is about 8504.5380826944. The cubic root of 72327168 is about 416.6459393067.

It can be divided in two parts, 7232 and 7168, that added together give a square (14400 = 120²).

The spelling of 72327168 in words is "seventy-two million, three hundred twenty-seven thousand, one hundred sixty-eight".