401072 has 20 divisors (see below), whose sum is σ = 888336. Its totient is φ = 171840.

The previous prime is 401069. The next prime is 401077. The reversal of 401072 is 270104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (401077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1679 + ... + 1902.

2⁴⁰¹⁰⁷² is an apocalyptic number.

It is an amenable number.

401072 is an abundant number, since it is smaller than the sum of its proper divisors (487264).

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

401072 is a wasteful number, since it uses less digits than its factorization.

401072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 401072 is about 633.3024553876. The cubic root of 401072 is about 73.7463926226.

Adding to 401072 its reverse (270104), we get a palindrome (671176).

The spelling of 401072 in words is "four hundred one thousand, seventy-two", and thus it is an iban number.