7287314112 has 672 divisors, whose sum is σ = 26361054720. Its totient is φ = 1897758720.

The previous prime is 7287314101. The next prime is 7287314113. The reversal of 7287314112 is 2114137827.

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

It is not an unprimeable number, because it can be changed into a prime (7287314113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55628287 + ... + 55628417.

It is an arithmetic number, because the mean of its divisors is an integer number (39227760).

Almost surely, 2^7287314112 is an apocalyptic number.

7287314112 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 7287314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13180527360).

7287314112 is an abundant number, since it is smaller than the sum of its proper divisors (19073740608).

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

7287314112 is a wasteful number, since it uses less digits than its factorization.

7287314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 7287314112 is about 85365.7666280811. The cubic root of 7287314112 is about 1938.7530613133.

The spelling of 7287314112 in words is "seven billion, two hundred eighty-seven million, three hundred fourteen thousand, one hundred twelve".