10414872 has 64 divisors (see below), whose sum is σ = 31164000. Its totient is φ = 3203712.

The previous prime is 10414849. The next prime is 10414891. The reversal of 10414872 is 27841401.

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

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 15 ways as a sum of consecutive naturals, for example, 954 + ... + 4662.

Almost surely, 2^10414872 is an apocalyptic number.

10414872 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 10414872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15582000).

10414872 is an abundant number, since it is smaller than the sum of its proper divisors (20749128).

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

10414872 is a wasteful number, since it uses less digits than its factorization.

10414872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 10414872 is about 3227.2080812988. The cubic root of 10414872 is about 218.3825731778.

The spelling of 10414872 in words is "ten million, four hundred fourteen thousand, eight hundred seventy-two".