10236672 has 72 divisors (see below), whose sum is σ = 30292080. Its totient is φ = 3409920.

The previous prime is 10236661. The next prime is 10236673. The reversal of 10236672 is 27663201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10236673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6172 + ... + 7652.

Almost surely, 2^10236672 is an apocalyptic number.

10236672 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 10236672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146040).

10236672 is an abundant number, since it is smaller than the sum of its proper divisors (20055408).

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

10236672 is an equidigital number, since it uses as much as digits as its factorization.

10236672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 10236672 is about 3199.4799577431. The cubic root of 10236672 is about 217.1298818259.

Adding to 10236672 its reverse (27663201), we get a palindrome (37899873).

The spelling of 10236672 in words is "ten million, two hundred thirty-six thousand, six hundred seventy-two".