42912000 has 216 divisors, whose sum is σ = 155446200. Its totient is φ = 11366400.

The previous prime is 42911989. The next prime is 42912007. The reversal of 42912000 is 21924.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 35426304 = 2736^2 + 5952^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42912007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287926 + ... + 288074.

Almost surely, 2^42912000 is an apocalyptic number.

42912000 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 42912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77723100).

42912000 is an abundant number, since it is smaller than the sum of its proper divisors (112534200).

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

42912000 is a wasteful number, since it uses less digits than its factorization.

42912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42912000 is about 6550.7251506990. The cubic root of 42912000 is about 350.1006513245.

Adding to 42912000 its reverse (21924), we get a palindrome (42933924).

The spelling of 42912000 in words is "forty-two million, nine hundred twelve thousand".