72112122 has 12 divisors (see below), whose sum is σ = 156242970. Its totient is φ = 24037368.

The previous prime is 72112121. The next prime is 72112123. The reversal of 72112122 is 22121127.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72112121) and next prime (72112123).

It can be written as a sum of positive squares in only one way, i.e., 67223601 + 4888521 = 8199^2 + 2211^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 4006229 = 72112122 / (7 + 2 + 1 + 1 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 72112095 and 72112104.

It is not an unprimeable number, because it can be changed into a prime (72112121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2003097 + ... + 2003132.

Almost surely, 2^72112122 is an apocalyptic number.

72112122 is an abundant number, since it is smaller than the sum of its proper divisors (84130848).

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

72112122 is a wasteful number, since it uses less digits than its factorization.

72112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006237 (or 4006234 counting only the distinct ones).

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

The square root of 72112122 is about 8491.8856563192. The cubic root of 72112122 is about 416.2325999815.

Adding to 72112122 its reverse (22121127), we get a palindrome (94233249).

The spelling of 72112122 in words is "seventy-two million, one hundred twelve thousand, one hundred twenty-two".