21752040 has 64 divisors (see below), whose sum is σ = 65894400. Its totient is φ = 5743872.

The previous prime is 21752039. The next prime is 21752053. The reversal of 21752040 is 4025712.

It is a junction number, because it is equal to n+sod(n) for n = 21751998 and 21752016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12249 + ... + 13911.

It is an arithmetic number, because the mean of its divisors is an integer number (1029600).

Almost surely, 2^21752040 is an apocalyptic number.

21752040 is a gapful number since it is divisible by the number (20) 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 21752040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947200).

21752040 is an abundant number, since it is smaller than the sum of its proper divisors (44142360).

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

21752040 is a wasteful number, since it uses less digits than its factorization.

21752040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 21752040 is about 4663.9082323734. The cubic root of 21752040 is about 279.1472353991.

Adding to 21752040 its reverse (4025712), we get a palindrome (25777752).

The spelling of 21752040 in words is "twenty-one million, seven hundred fifty-two thousand, forty".