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10007712 = 25371113

10007712 has 192 divisors, whose sum is σ = 34715520. Its totient is φ = 2799360.

The previous prime is 10007707. The next prime is 10007719. The reversal of 10007712 is 21770001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (10007719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769818 + ... + 769830.

It is an arithmetic number, because the mean of its divisors is an integer number (180810).

Almost surely, 210007712 is an apocalyptic number.

10007712 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 10007712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357760).

10007712 is an abundant number, since it is smaller than the sum of its proper divisors (24707808).

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

10007712 is an equidigital number, since it uses as much as digits as its factorization.

10007712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 10007712 is about 3163.4967994294. The cubic root of 10007712 is about 215.4988381065.

Adding to 10007712 its reverse (21770001), we get a palindrome (31777713).

The spelling of 10007712 in words is "ten million, seven thousand, seven hundred twelve".