419760072 has 24 divisors (see below), whose sum is σ = 1136850390. Its totient is φ = 139920000.

The previous prime is 419760049. The next prime is 419760151. The reversal of 419760072 is 270067914.

It is a happy number.

419760072 is a `hidden beast` number, since 41 + 9 + 7 + 600 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 319479876 + 100280196 = 17874^2 + 10014^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 2914929 + ... + 2915072.

Almost surely, 2^419760072 is an apocalyptic number.

It is an amenable number.

419760072 is an abundant number, since it is smaller than the sum of its proper divisors (717090318).

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

419760072 is a wasteful number, since it uses less digits than its factorization.

419760072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830013 (or 5830006 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 419760072 is about 20488.0470518788. The cubic root of 419760072 is about 748.7446091642.

The spelling of 419760072 in words is "four hundred nineteen million, seven hundred sixty thousand, seventy-two".