420561072 has 120 divisors (see below), whose sum is σ = 1273918464. Its totient is φ = 134063424.

The previous prime is 420561061. The next prime is 420561073. The reversal of 420561072 is 270165024.

420561072 is a `hidden beast` number, since 42 + 0 + 5 + 610 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (420561073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87073 + ... + 91775.

Almost surely, 2^420561072 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 420561072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636959232).

420561072 is an abundant number, since it is smaller than the sum of its proper divisors (853357392).

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

420561072 is a wasteful number, since it uses less digits than its factorization.

420561072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 420561072 is about 20507.5857184604. The cubic root of 420561072 is about 749.2205662580.

The spelling of 420561072 in words is "four hundred twenty million, five hundred sixty-one thousand, seventy-two".