42256720 has 80 divisors (see below), whose sum is σ = 110707200. Its totient is φ = 14860800.

The previous prime is 42256693. The next prime is 42256729. The reversal of 42256720 is 2765224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42256729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26506 + ... + 28054.

It is an arithmetic number, because the mean of its divisors is an integer number (1383840).

Almost surely, 2^42256720 is an apocalyptic number.

42256720 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 42256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55353600).

42256720 is an abundant number, since it is smaller than the sum of its proper divisors (68450480).

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

42256720 is a wasteful number, since it uses less digits than its factorization.

42256720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 42256720 is about 6500.5169025240. The cubic root of 42256720 is about 348.3094530203.

Subtracting from 42256720 its product of nonzero digits (6720), we obtain a square (42250000 = 6500²).

The spelling of 42256720 in words is "forty-two million, two hundred fifty-six thousand, seven hundred twenty".