42102720 has 224 divisors, whose sum is σ = 162397440. Its totient is φ = 10183680.

The previous prime is 42102701. The next prime is 42102721. The reversal of 42102720 is 2720124.

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 = 42102693 and 42102702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94819 + ... + 95261.

Almost surely, 2^42102720 is an apocalyptic number.

42102720 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 42102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81198720).

42102720 is an abundant number, since it is smaller than the sum of its proper divisors (120294720).

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

42102720 is a wasteful number, since it uses less digits than its factorization.

42102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

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

The square root of 42102720 is about 6488.6608787946. The cubic root of 42102720 is about 347.8858127148.

Adding to 42102720 its reverse (2720124), we get a palindrome (44822844).

The spelling of 42102720 in words is "forty-two million, one hundred two thousand, seven hundred twenty".