22573672 has 64 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 9282240.

The previous prime is 22573643. The next prime is 22573679. The reversal of 22573672 is 27637522.

It is a super-3 number, since 3×22573672³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22573679) 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 15 ways as a sum of consecutive naturals, for example, 38163 + ... + 38749.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^22573672 is an apocalyptic number.

22573672 is a gapful number since it is divisible by the number (22) 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 22573672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

22573672 is an abundant number, since it is smaller than the sum of its proper divisors (28229528).

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

22573672 is a wasteful number, since it uses less digits than its factorization.

22573672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its digits is 35280, while the sum is 34.

The square root of 22573672 is about 4751.1758544596. The cubic root of 22573672 is about 282.6185974488.

It can be divided in two parts, 2257 and 3672, that added together give a square (5929 = 77²).

The spelling of 22573672 in words is "twenty-two million, five hundred seventy-three thousand, six hundred seventy-two".