42745536 has 112 divisors (see below), whose sum is σ = 130149600. Its totient is φ = 13741056.

The previous prime is 42745529. The next prime is 42745541. The reversal of 42745536 is 63554724.

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 42745536.

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 15 ways as a sum of consecutive naturals, for example, 49686 + ... + 50538.

It is an arithmetic number, because the mean of its divisors is an integer number (1162050).

Almost surely, 2^42745536 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 42745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65074800).

42745536 is an abundant number, since it is smaller than the sum of its proper divisors (87404064).

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

42745536 is a wasteful number, since it uses less digits than its factorization.

42745536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 887 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 42745536 is about 6538.0070357870. The cubic root of 42745536 is about 349.6473618299.

The spelling of 42745536 in words is "forty-two million, seven hundred forty-five thousand, five hundred thirty-six".