1224272736 has 72 divisors (see below), whose sum is σ = 3512428920. Its totient is φ = 404468736.

The previous prime is 1224272711. The next prime is 1224272741. The reversal of 1224272736 is 6372724221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1224272736² = 2997687464225851392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1224272736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13735 + ... + 51353.

It is an arithmetic number, because the mean of its divisors is an integer number (48783735).

Almost surely, 2^1224272736 is an apocalyptic number.

1224272736 is a gapful number since it is divisible by the number (16) 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 1224272736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756214460).

1224272736 is an abundant number, since it is smaller than the sum of its proper divisors (2288156184).

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

1224272736 is a wasteful number, since it uses less digits than its factorization.

1224272736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37748 (or 37737 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 1224272736 is about 34989.6089718076. The cubic root of 1224272736 is about 1069.7756935119.

Adding to 1224272736 its reverse (6372724221), we get a palindrome (7596996957).

The spelling of 1224272736 in words is "one billion, two hundred twenty-four million, two hundred seventy-two thousand, seven hundred thirty-six".