22772520 has 144 divisors (see below), whose sum is σ = 79669980. Its totient is φ = 5621760.

The previous prime is 22772483. The next prime is 22772527. The reversal of 22772520 is 2527722.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1483524 + 21288996 = 1218^2 + 4614^2 .

It is not an unprimeable number, because it can be changed into a prime (22772527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373290 + ... + 373350.

Almost surely, 2^22772520 is an apocalyptic number.

22772520 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 22772520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39834990).

22772520 is an abundant number, since it is smaller than the sum of its proper divisors (56897460).

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

22772520 is a wasteful number, since it uses less digits than its factorization.

22772520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 22772520 is about 4772.0561606083. The cubic root of 22772520 is about 283.4460205356.

The spelling of 22772520 in words is "twenty-two million, seven hundred seventy-two thousand, five hundred twenty".