10872672 has 48 divisors (see below), whose sum is σ = 29321712. Its totient is φ = 3525120.

The previous prime is 10872671. The next prime is 10872703. The reversal of 10872672 is 27627801.

10872672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10872671) 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, 2022 + ... + 5082.

It is an arithmetic number, because the mean of its divisors is an integer number (610869).

Almost surely, 2^10872672 is an apocalyptic number.

10872672 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 10872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14660856).

10872672 is an abundant number, since it is smaller than the sum of its proper divisors (18449040).

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

10872672 is a wasteful number, since it uses less digits than its factorization.

10872672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 10872672 is about 3297.3735002271. The cubic root of 10872672 is about 221.5365707935.

The spelling of 10872672 in words is "ten million, eight hundred seventy-two thousand, six hundred seventy-two".