10227672 has 144 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 2685312.

The previous prime is 10227661. The next prime is 10227673. The reversal of 10227672 is 27672201.

10227672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10227673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45753 + ... + 45975.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 2^10227672 is an apocalyptic number.

10227672 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 10227672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

10227672 is an abundant number, since it is smaller than the sum of its proper divisors (24628968).

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

10227672 is a wasteful number, since it uses less digits than its factorization.

10227672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10227672 is about 3198.0731698946. The cubic root of 10227672 is about 217.0662302175.

Adding to 10227672 its reverse (27672201), we get a palindrome (37899873).

The spelling of 10227672 in words is "ten million, two hundred twenty-seven thousand, six hundred seventy-two".