72221112 has 64 divisors (see below), whose sum is σ = 201549600. Its totient is φ = 23961600.

The previous prime is 72221101. The next prime is 72221119. The reversal of 72221112 is 21112227.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72221119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54862 + ... + 56162.

Almost surely, 2^72221112 is an apocalyptic number.

72221112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

72221112 is the 6939-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100774800).

72221112 is an abundant number, since it is smaller than the sum of its proper divisors (129328488).

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

72221112 is a wasteful number, since it uses less digits than its factorization.

72221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1563 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 72221112 is about 8498.3005359895. The cubic root of 72221112 is about 416.4421919061.

Adding to 72221112 its reverse (21112227), we get a palindrome (93333339).

The spelling of 72221112 in words is "seventy-two million, two hundred twenty-one thousand, one hundred twelve".