42243720 has 128 divisors (see below), whose sum is σ = 133920000. Its totient is φ = 10644480.

The previous prime is 42243697. The next prime is 42243727. The reversal of 42243720 is 2734224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42243727) 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, 212181 + ... + 212379.

It is an arithmetic number, because the mean of its divisors is an integer number (1046250).

Almost surely, 2^42243720 is an apocalyptic number.

42243720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42243720 is the 5307-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42243720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960000).

42243720 is an abundant number, since it is smaller than the sum of its proper divisors (91676280).

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

42243720 is a wasteful number, since it uses less digits than its factorization.

42243720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 42243720 is about 6499.5169051246. The cubic root of 42243720 is about 348.2737309915.

Adding to 42243720 its reverse (2734224), we get a palindrome (44977944).

The spelling of 42243720 in words is "forty-two million, two hundred forty-three thousand, seven hundred twenty".