402573072 has 80 divisors (see below), whose sum is σ = 1145908800. Its totient is φ = 120768000.

The previous prime is 402573049. The next prime is 402573089. The reversal of 402573072 is 270375204.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49554 + ... + 57102.

It is an arithmetic number, because the mean of its divisors is an integer number (14323860).

Almost surely, 2^402573072 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 402573072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572954400).

402573072 is an abundant number, since it is smaller than the sum of its proper divisors (743335728).

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

402573072 is a wasteful number, since it uses less digits than its factorization.

402573072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 402573072 is about 20064.2236829637. The cubic root of 402573072 is about 738.3828038786.

The spelling of 402573072 in words is "four hundred two million, five hundred seventy-three thousand, seventy-two".