21072096 has 96 divisors (see below), whose sum is σ = 63655200. Its totient is φ = 6781824.

The previous prime is 21072053. The next prime is 21072101. The reversal of 21072096 is 69027012.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726610 + ... + 726638.

It is an arithmetic number, because the mean of its divisors is an integer number (663075).

Almost surely, 2^21072096 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 21072096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31827600).

21072096 is an abundant number, since it is smaller than the sum of its proper divisors (42583104).

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

21072096 is an frugal number, since it uses more digits than its factorization.

21072096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 21072096 is about 4590.4352734790. The cubic root of 21072096 is about 276.2077830425.

The spelling of 21072096 in words is "twenty-one million, seventy-two thousand, ninety-six".