42237520 has 80 divisors (see below), whose sum is σ = 112024080. Its totient is φ = 14671872.

The previous prime is 42237463. The next prime is 42237521. The reversal of 42237520 is 2573224.

It can be written as a sum of positive squares in 8 ways, for example, as 2849344 + 39388176 = 1688^2 + 6276^2 .

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 (42237521) 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 15 ways as a sum of consecutive naturals, for example, 16486 + ... + 18874.

It is an arithmetic number, because the mean of its divisors is an integer number (1400301).

Almost surely, 2^42237520 is an apocalyptic number.

42237520 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 42237520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56012040).

42237520 is an abundant number, since it is smaller than the sum of its proper divisors (69786560).

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

42237520 is a wasteful number, since it uses less digits than its factorization.

42237520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 42237520 is about 6499.0399290972. The cubic root of 42237520 is about 348.2566917505.

The spelling of 42237520 in words is "forty-two million, two hundred thirty-seven thousand, five hundred twenty".