428800072 has 16 divisors (see below), whose sum is σ = 805751100. Its totient is φ = 213933120.

The previous prime is 428800069. The next prime is 428800093. The reversal of 428800072 is 270008824.

It can be written as a sum of positive squares in 2 ways, for example, as 416731396 + 12068676 = 20414^2 + 3474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54447 + ... + 61822.

Almost surely, 2^428800072 is an apocalyptic number.

It is an amenable number.

428800072 is a deficient number, since it is larger than the sum of its proper divisors (376951028).

428800072 is a wasteful number, since it uses less digits than its factorization.

428800072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116736 (or 116732 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 428800072 is about 20707.4883073733. The cubic root of 428800072 is about 754.0814946144.

Adding to 428800072 its reverse (270008824), we get a palindrome (698808896).

The spelling of 428800072 in words is "four hundred twenty-eight million, eight hundred thousand, seventy-two".