7344214272 has 504 divisors, whose sum is σ = 24128193600. Its totient is φ = 2222567424.

The previous prime is 7344214193. The next prime is 7344214279. The reversal of 7344214272 is 2724124437.

7344214272 is a `hidden beast` number, since 7 + 3 + 442 + 142 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7344214279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 124478179 + ... + 124478237.

It is an arithmetic number, because the mean of its divisors is an integer number (47873400).

Almost surely, 2^7344214272 is an apocalyptic number.

7344214272 is a gapful number since it is divisible by the number (72) 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 7344214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064096800).

7344214272 is an abundant number, since it is smaller than the sum of its proper divisors (16783979328).

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

7344214272 is an equidigital number, since it uses as much as digits as its factorization.

7344214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 7344214272 is about 85698.3913034545. The cubic root of 7344214272 is about 1943.7859846703.

The spelling of 7344214272 in words is "seven billion, three hundred forty-four million, two hundred fourteen thousand, two hundred seventy-two".