10401872 has 40 divisors (see below), whose sum is σ = 22227744. Its totient is φ = 4685184.

The previous prime is 10401863. The next prime is 10401883. The reversal of 10401872 is 27810401.

It is a super-2 number, since 2×10401872² = 216397882208768, which contains 22 as substring.

10401872 is a modest number, since divided by 1872 gives 1040 as remainder.

It is a congruent number.

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, 8363 + ... + 9525.

Almost surely, 2^10401872 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 10401872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113872).

10401872 is an abundant number, since it is smaller than the sum of its proper divisors (11825872).

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

10401872 is a wasteful number, since it uses less digits than its factorization.

10401872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 10401872 is about 3225.1933275387. The cubic root of 10401872 is about 218.2916725411.

The spelling of 10401872 in words is "ten million, four hundred one thousand, eight hundred seventy-two".