22872080 has 160 divisors (see below), whose sum is σ = 68567040. Its totient is φ = 6888960.

The previous prime is 22872053. The next prime is 22872103. The reversal of 22872080 is 8027822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289481 + ... + 289559.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 2^22872080 is an apocalyptic number.

22872080 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 22872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34283520).

22872080 is an abundant number, since it is smaller than the sum of its proper divisors (45694960).

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

22872080 is a wasteful number, since it uses less digits than its factorization.

22872080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 22872080 is about 4782.4763459948. The cubic root of 22872080 is about 283.8584893097.

The spelling of 22872080 in words is "twenty-two million, eight hundred seventy-two thousand, eighty".