42272720 has 160 divisors (see below), whose sum is σ = 123206400. Its totient is φ = 13160448.

The previous prime is 42272719. The next prime is 42272729. The reversal of 42272720 is 2727224.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42272720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42272729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308492 + ... + 308628.

It is an arithmetic number, because the mean of its divisors is an integer number (770040).

Almost surely, 2^42272720 is an apocalyptic number.

42272720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61603200).

42272720 is an abundant number, since it is smaller than the sum of its proper divisors (80933680).

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

42272720 is a wasteful number, since it uses less digits than its factorization.

42272720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 42272720 is about 6501.7474574148. The cubic root of 42272720 is about 348.3534085380.

Adding to 42272720 its reverse (2727224), we get a palindrome (44999944).

The spelling of 42272720 in words is "forty-two million, two hundred seventy-two thousand, seven hundred twenty".