42672000 has 256 divisors, whose sum is σ = 162938880. Its totient is φ = 9676800.

The previous prime is 42671977. The next prime is 42672031. The reversal of 42672000 is 27624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 335937 + ... + 336063.

It is an arithmetic number, because the mean of its divisors is an integer number (636480).

Almost surely, 2^42672000 is an apocalyptic number.

42672000 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 42672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81469440).

42672000 is an abundant number, since it is smaller than the sum of its proper divisors (120266880).

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

42672000 is a wasteful number, since it uses less digits than its factorization.

42672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 42672000 is about 6532.3808829553. The cubic root of 42672000 is about 349.4467449623.

Adding to 42672000 its reverse (27624), we get a palindrome (42699624).

The spelling of 42672000 in words is "forty-two million, six hundred seventy-two thousand".