72327312 has 60 divisors (see below), whose sum is σ = 204461244. Its totient is φ = 23865600.

The previous prime is 72327301. The next prime is 72327317. The reversal of 72327312 is 21372327.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 11861136 = 7776^2 + 3444^2 .

It is a super-2 number, since 2×72327312² = 10462480122290688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72327317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12058 + ... + 17030.

Almost surely, 2^72327312 is an apocalyptic number.

72327312 is a gapful number since it is divisible by the number (72) 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 72327312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102230622).

72327312 is an abundant number, since it is smaller than the sum of its proper divisors (132133932).

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

72327312 is a wasteful number, since it uses less digits than its factorization.

72327312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 5079 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 72327312 is about 8504.5465487585. The cubic root of 72327312 is about 416.6462158140.

Adding to 72327312 its reverse (21372327), we get a palindrome (93699639).

The spelling of 72327312 in words is "seventy-two million, three hundred twenty-seven thousand, three hundred twelve".