415720272 has 80 divisors (see below), whose sum is σ = 1183799232. Its totient is φ = 124661760.

The previous prime is 415720243. The next prime is 415720297. The reversal of 415720272 is 272027514.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47158 + ... + 55274.

Almost surely, 2^415720272 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 415720272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591899616).

415720272 is an abundant number, since it is smaller than the sum of its proper divisors (768078960).

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

415720272 is a wasteful number, since it uses less digits than its factorization.

415720272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 415720272 is about 20389.2195044342. The cubic root of 415720272 is about 746.3348720700.

Adding to 415720272 its reverse (272027514), we get a palindrome (687747786).

The spelling of 415720272 in words is "four hundred fifteen million, seven hundred twenty thousand, two hundred seventy-two".