10188672 has 96 divisors (see below), whose sum is σ = 29492280. Its totient is φ = 3115008.

The previous prime is 10188649. The next prime is 10188679. The reversal of 10188672 is 27688101.

It is a happy number.

10188672 is digitally balanced in base 2 and base 4, because in such bases 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10188679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64818 + ... + 64974.

Almost surely, 2^10188672 is an apocalyptic number.

10188672 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 10188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14746140).

10188672 is an abundant number, since it is smaller than the sum of its proper divisors (19303608).

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

10188672 is a wasteful number, since it uses less digits than its factorization.

10188672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 10188672 is about 3191.9699246703. The cubic root of 10188672 is about 216.7899742553.

The spelling of 10188672 in words is "ten million, one hundred eighty-eight thousand, six hundred seventy-two".