42437736 has 128 divisors (see below), whose sum is σ = 131414400. Its totient is φ = 12579840.

The previous prime is 42437719. The next prime is 42437743. The reversal of 42437736 is 63773424.

It is a happy number.

It is a super-2 number, since 2×42437736² = 3601922873611392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42437736.

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, 125760 + ... + 126096.

It is an arithmetic number, because the mean of its divisors is an integer number (1026675).

Almost surely, 2^42437736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42437736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65707200).

42437736 is an abundant number, since it is smaller than the sum of its proper divisors (88976664).

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

42437736 is a wasteful number, since it uses less digits than its factorization.

42437736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 42437736 is about 6514.4252240700. The cubic root of 42437736 is about 348.8060980403.

The spelling of 42437736 in words is "forty-two million, four hundred thirty-seven thousand, seven hundred thirty-six".