10301872 has 40 divisors (see below), whose sum is σ = 23212800. Its totient is φ = 4337472.

The previous prime is 10301867. The next prime is 10301903. The reversal of 10301872 is 27810301.

It is a super-2 number, since 2×10301872² = 212257133408768, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5829 + ... + 7387.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 2^10301872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606400).

10301872 is an abundant number, since it is smaller than the sum of its proper divisors (12910928).

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

10301872 is a wasteful number, since it uses less digits than its factorization.

10301872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 10301872 is about 3209.6529407399. The cubic root of 10301872 is about 217.5898919396.

The spelling of 10301872 in words is "ten million, three hundred one thousand, eight hundred seventy-two".