72142220 has 24 divisors (see below), whose sum is σ = 160411104. Its totient is φ = 27159296.

The previous prime is 72142207. The next prime is 72142229. The reversal of 72142220 is 2224127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 72142192 and 72142201.

It is not an unprimeable number, because it can be changed into a prime (72142229) 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, 105752 + ... + 106431.

It is an arithmetic number, because the mean of its divisors is an integer number (6683796).

Almost surely, 2^72142220 is an apocalyptic number.

It is an amenable number.

72142220 is an abundant number, since it is smaller than the sum of its proper divisors (88268884).

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

72142220 is a wasteful number, since it uses less digits than its factorization.

72142220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212209 (or 212207 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 72142220 is about 8493.6576337877. The cubic root of 72142220 is about 416.2905006779.

Adding to 72142220 its reverse (2224127), we get a palindrome (74366347).

The spelling of 72142220 in words is "seventy-two million, one hundred forty-two thousand, two hundred twenty".