42285672 has 192 divisors, whose sum is σ = 141825600. Its totient is φ = 11508480.

The previous prime is 42285671. The next prime is 42285673. The reversal of 42285672 is 27658224.

It is an interprime number because it is at equal distance from previous prime (42285671) and next prime (42285673).

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

It is not an unprimeable number, because it can be changed into a prime (42285671) 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 47 ways as a sum of consecutive naturals, for example, 1142838 + ... + 1142874.

It is an arithmetic number, because the mean of its divisors is an integer number (738675).

Almost surely, 2^42285672 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 42285672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70912800).

42285672 is an abundant number, since it is smaller than the sum of its proper divisors (99539928).

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

42285672 is a wasteful number, since it uses less digits than its factorization.

42285672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 42285672 is about 6502.7434210493. The cubic root of 42285672 is about 348.3889824072.

The spelling of 42285672 in words is "forty-two million, two hundred eighty-five thousand, six hundred seventy-two".