72122022 has 96 divisors (see below), whose sum is σ = 189030240. Its totient is φ = 20321280.

The previous prime is 72122009. The next prime is 72122033. The reversal of 72122022 is 22022127.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 72121986 and 72122004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256522 + ... + 256802.

It is an arithmetic number, because the mean of its divisors is an integer number (1969065).

Almost surely, 2^72122022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94515120).

72122022 is an abundant number, since it is smaller than the sum of its proper divisors (116908218).

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

72122022 is a wasteful number, since it uses less digits than its factorization.

72122022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72122022 is about 8492.4685457174. The cubic root of 72122022 is about 416.2516467754.

Adding to 72122022 its reverse (22022127), we get a palindrome (94144149).

The spelling of 72122022 in words is "seventy-two million, one hundred twenty-two thousand, twenty-two".