10420872 has 64 divisors (see below), whose sum is σ = 32486400. Its totient is φ = 2706240.

The previous prime is 10420829. The next prime is 10420901. The reversal of 10420872 is 27802401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (507600).

Almost surely, 2^10420872 is an apocalyptic number.

10420872 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 10420872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16243200).

10420872 is an abundant number, since it is smaller than the sum of its proper divisors (22065528).

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

10420872 is a wasteful number, since it uses less digits than its factorization.

10420872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10420872 is about 3228.1375435381. The cubic root of 10420872 is about 218.4245018064.

The spelling of 10420872 in words is "ten million, four hundred twenty thousand, eight hundred seventy-two".