21872952 has 96 divisors (see below), whose sum is σ = 63648000. Its totient is φ = 6765120.

The previous prime is 21872951. The next prime is 21872959. The reversal of 21872952 is 25927812.

21872952 is nontrivially palindromic in base 7.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21872951) 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 23 ways as a sum of consecutive naturals, for example, 80577 + ... + 80847.

It is an arithmetic number, because the mean of its divisors is an integer number (663000).

Almost surely, 2^21872952 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 21872952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31824000).

21872952 is an abundant number, since it is smaller than the sum of its proper divisors (41775048).

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

21872952 is a wasteful number, since it uses less digits than its factorization.

21872952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 21872952 is about 4676.8527879334. The cubic root of 21872952 is about 279.6635073434.

The spelling of 21872952 in words is "twenty-one million, eight hundred seventy-two thousand, nine hundred fifty-two".