401067072 has 224 divisors, whose sum is σ = 1369405440. Its totient is φ = 112734720.

The previous prime is 401067053. The next prime is 401067103. The reversal of 401067072 is 270760104.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858583 + ... + 859049.

Almost surely, 2^401067072 is an apocalyptic number.

401067072 is a gapful number since it is divisible by the number (42) 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 401067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684702720).

401067072 is an abundant number, since it is smaller than the sum of its proper divisors (968338368).

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

401067072 is a wasteful number, since it uses less digits than its factorization.

401067072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 401067072 is about 20026.6590323998. The cubic root of 401067072 is about 737.4609057894.

The spelling of 401067072 in words is "four hundred one million, sixty-seven thousand, seventy-two".