10193472 has 112 divisors (see below), whose sum is σ = 31821120. Its totient is φ = 3188736.

The previous prime is 10193467. The next prime is 10193473. The reversal of 10193472 is 27439101.

10193472 is a `hidden beast` number, since 1 + 0 + 193 + 472 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (10193473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29203 + ... + 29549.

Almost surely, 2^10193472 is an apocalyptic number.

10193472 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 10193472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910560).

10193472 is an abundant number, since it is smaller than the sum of its proper divisors (21627648).

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

10193472 is a wasteful number, since it uses less digits than its factorization.

10193472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10193472 is about 3192.7217229192. The cubic root of 10193472 is about 216.8240129899.

The spelling of 10193472 in words is "ten million, one hundred ninety-three thousand, four hundred seventy-two".