401568072 has 32 divisors (see below), whose sum is σ = 1004529600. Its totient is φ = 133774784.

The previous prime is 401568049. The next prime is 401568073. The reversal of 401568072 is 270865104.

It is a super-2 number, since 2×401568072² = 322513832899594368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401568073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45613 + ... + 53699.

It is an arithmetic number, because the mean of its divisors is an integer number (31391550).

Almost surely, 2^401568072 is an apocalyptic number.

It is an amenable number.

401568072 is an abundant number, since it is smaller than the sum of its proper divisors (602961528).

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

401568072 is a wasteful number, since it uses less digits than its factorization.

401568072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 401568072 is about 20039.1634555936. The cubic root of 401568072 is about 737.7678487788.

The spelling of 401568072 in words is "four hundred one million, five hundred sixty-eight thousand, seventy-two".