402072 has 32 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 121760.

The previous prime is 402071. The next prime is 402089. The reversal of 402072 is 270204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (34290).

2⁴⁰²⁰⁷² is an apocalyptic number.

It is an amenable number.

402072 is an abundant number, since it is smaller than the sum of its proper divisors (695208).

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

402072 is a wasteful number, since it uses less digits than its factorization.

402072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 402072 is about 634.0914760506. The cubic root of 402072 is about 73.8076328208.

Adding to 402072 its reverse (270204), we get a palindrome (672276).

It can be divided in two parts, 40 and 2072, that added together give a palindrome (2112).

The spelling of 402072 in words is "four hundred two thousand, seventy-two", and thus it is an iban number.