42720120 has 96 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 11172096.

The previous prime is 42720107. The next prime is 42720193. The reversal of 42720120 is 2102724.

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 = 42720093 and 42720102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17961 + ... + 20199.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^42720120 is an apocalyptic number.

42720120 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 42720120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

42720120 is an abundant number, since it is smaller than the sum of its proper divisors (98803080).

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

42720120 is a wasteful number, since it uses less digits than its factorization.

42720120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2302 counting only the distinct ones).

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

The square root of 42720120 is about 6536.0630351918. The cubic root of 42720120 is about 349.5780493351.

Adding to 42720120 its reverse (2102724), we get a palindrome (44822844).

The spelling of 42720120 in words is "forty-two million, seven hundred twenty thousand, one hundred twenty".