420237072 has 100 divisors (see below), whose sum is σ = 1233688896. Its totient is φ = 138075840.

The previous prime is 420237061. The next prime is 420237091. The reversal of 420237072 is 270732024.

420237072 is a `hidden beast` number, since 420 + 237 + 0 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89733 + ... + 94299.

Almost surely, 2^420237072 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 420237072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616844448).

420237072 is an abundant number, since it is smaller than the sum of its proper divisors (813451824).

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

420237072 is a wasteful number, since it uses less digits than its factorization.

420237072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 420237072 is about 20499.6846805018. The cubic root of 420237072 is about 749.0281171356.

Adding to 420237072 its reverse (270732024), we get a palindrome (690969096).

The spelling of 420237072 in words is "four hundred twenty million, two hundred thirty-seven thousand, seventy-two".