72227712 has 64 divisors (see below), whose sum is σ = 192902400. Its totient is φ = 23944704.

The previous prime is 72227707. The next prime is 72227717. The reversal of 72227712 is 21772227.

It is an interprime number because it is at equal distance from previous prime (72227707) and next prime (72227717).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 72227712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72227717) 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, 91383 + ... + 92169.

It is an arithmetic number, because the mean of its divisors is an integer number (3014100).

Almost surely, 2^72227712 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 72227712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96451200).

72227712 is an abundant number, since it is smaller than the sum of its proper divisors (120674688).

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

72227712 is a wasteful number, since it uses less digits than its factorization.

72227712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1031 counting only the distinct ones).

The product of its digits is 5488, while the sum is 30.

The square root of 72227712 is about 8498.6888400506. The cubic root of 72227712 is about 416.4548771845.

Adding to 72227712 its reverse (21772227), we get a palindrome (93999939).

The spelling of 72227712 in words is "seventy-two million, two hundred twenty-seven thousand, seven hundred twelve".