12252072 has 64 divisors (see below), whose sum is σ = 35268480. Its totient is φ = 3474432.

The previous prime is 12252061. The next prime is 12252073. The reversal of 12252072 is 27025221.

It is a happy number.

It is a super-2 number, since 2×12252072² = 300226536586368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12252073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38988 + ... + 39300.

It is an arithmetic number, because the mean of its divisors is an integer number (551070).

Almost surely, 2^12252072 is an apocalyptic number.

12252072 is a gapful number since it is divisible by the number (12) 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 12252072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17634240).

12252072 is an abundant number, since it is smaller than the sum of its proper divisors (23016408).

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

12252072 is a wasteful number, since it uses less digits than its factorization.

12252072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 12252072 is about 3500.2959874845. The cubic root of 12252072 is about 230.5348109097.

Adding to 12252072 its reverse (27025221), we get a palindrome (39277293).

The spelling of 12252072 in words is "twelve million, two hundred fifty-two thousand, seventy-two".