7725414312 has 512 divisors, whose sum is σ = 28740096000. Its totient is φ = 1861263360.

The previous prime is 7725414311. The next prime is 7725414373. The reversal of 7725414312 is 2134145277.

7725414312 is a `hidden beast` number, since 7 + 72 + 541 + 43 + 1 + 2 = 666.

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 (7725414311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25164063 + ... + 25164369.

It is an arithmetic number, because the mean of its divisors is an integer number (56133000).

Almost surely, 2^7725414312 is an apocalyptic number.

7725414312 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 7725414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048000).

7725414312 is an abundant number, since it is smaller than the sum of its proper divisors (21014681688).

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

7725414312 is a wasteful number, since it uses less digits than its factorization.

7725414312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 7725414312 is about 87894.3360632527. The cubic root of 7725414312 is about 1976.8509539222.

Adding to 7725414312 its reverse (2134145277), we get a palindrome (9859559589).

The spelling of 7725414312 in words is "seven billion, seven hundred twenty-five million, four hundred fourteen thousand, three hundred twelve".