42663972 has 48 divisors (see below), whose sum is σ = 107618112. Its totient is φ = 13077120.

The previous prime is 42663961. The next prime is 42663977. The reversal of 42663972 is 27936624.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 42663972.

It is not an unprimeable number, because it can be changed into a prime (42663977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76318 + ... + 76874.

It is an arithmetic number, because the mean of its divisors is an integer number (2242044).

Almost surely, 2^42663972 is an apocalyptic number.

It is an amenable number.

42663972 is an abundant number, since it is smaller than the sum of its proper divisors (64954140).

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

42663972 is a wasteful number, since it uses less digits than its factorization.

42663972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1066 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 42663972 is about 6531.7663767162. The cubic root of 42663972 is about 349.4248294642.

The spelling of 42663972 in words is "forty-two million, six hundred sixty-three thousand, nine hundred seventy-two".