42721000 has 128 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 13747200.

The previous prime is 42720991. The next prime is 42721027. The reversal of 42721000 is 12724.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118821 + ... + 119179.

It is an arithmetic number, because the mean of its divisors is an integer number (947700).

Almost surely, 2^42721000 is an apocalyptic number.

42721000 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 42721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800).

42721000 is an abundant number, since it is smaller than the sum of its proper divisors (78584600).

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

42721000 is a wasteful number, since it uses less digits than its factorization.

42721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 42721000 is about 6536.1303536573. The cubic root of 42721000 is about 349.5804496605.

Adding to 42721000 its reverse (12724), we get a palindrome (42733724).

The spelling of 42721000 in words is "forty-two million, seven hundred twenty-one thousand".