42132720 has 160 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 9308160.

The previous prime is 42132719. The next prime is 42132763. The reversal of 42132720 is 2723124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 51676 + ... + 52484.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^42132720 is an apocalyptic number.

42132720 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 42132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77137920).

42132720 is an abundant number, since it is smaller than the sum of its proper divisors (112143120).

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

42132720 is a wasteful number, since it uses less digits than its factorization.

42132720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 42132720 is about 6490.9721922066. The cubic root of 42132720 is about 347.9684209685.

Adding to 42132720 its reverse (2723124), we get a palindrome (44855844).

The spelling of 42132720 in words is "forty-two million, one hundred thirty-two thousand, seven hundred twenty".