72106220 has 12 divisors (see below), whose sum is σ = 151423104. Its totient is φ = 28842480.

The previous prime is 72106171. The next prime is 72106241. The reversal of 72106220 is 2260127.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 3605311 = 72106220 / (7 + 2 + 1 + 0 + 6 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 72106192 and 72106201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1802636 + ... + 1802675.

It is an arithmetic number, because the mean of its divisors is an integer number (12618592).

Almost surely, 2^72106220 is an apocalyptic number.

It is an amenable number.

72106220 is an abundant number, since it is smaller than the sum of its proper divisors (79316884).

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

72106220 is a wasteful number, since it uses less digits than its factorization.

72106220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605320 (or 3605318 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 72106220 is about 8491.5381409966. The cubic root of 72106220 is about 416.2212441846.

Adding to 72106220 its reverse (2260127), we get a palindrome (74366347).

The spelling of 72106220 in words is "seventy-two million, one hundred six thousand, two hundred twenty".