10419072 has 64 divisors (see below), whose sum is σ = 28364160. Its totient is φ = 3386880.

The previous prime is 10419067. The next prime is 10419083. The reversal of 10419072 is 27091401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10419072² = 217114122682368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16197 + ... + 16827.

It is an arithmetic number, because the mean of its divisors is an integer number (443190).

Almost surely, 2^10419072 is an apocalyptic number.

10419072 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 10419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182080).

10419072 is an abundant number, since it is smaller than the sum of its proper divisors (17945088).

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

10419072 is an equidigital number, since it uses as much as digits as its factorization.

10419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10419072 is about 3227.8587329683. The cubic root of 10419072 is about 218.4119249081.

The spelling of 10419072 in words is "ten million, four hundred nineteen thousand, seventy-two".