415060072 has 32 divisors (see below), whose sum is σ = 890680320. Its totient is φ = 177629760.

The previous prime is 415060057. The next prime is 415060091. The reversal of 415060072 is 270060514.

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 7 ways as a sum of consecutive naturals, for example, 37497 + ... + 47287.

It is an arithmetic number, because the mean of its divisors is an integer number (27833760).

Almost surely, 2^415060072 is an apocalyptic number.

It is an amenable number.

415060072 is an abundant number, since it is smaller than the sum of its proper divisors (475620248).

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

415060072 is a wasteful number, since it uses less digits than its factorization.

415060072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10561 (or 10557 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 415060072 is about 20373.0231433629. The cubic root of 415060072 is about 745.9395811504.

The spelling of 415060072 in words is "four hundred fifteen million, sixty thousand, seventy-two".