1527317160072 has 128 divisors (see below), whose sum is σ = 4535837568000. Its totient is φ = 423344759040.

The previous prime is 1527317160007. The next prime is 1527317160121. The reversal of 1527317160072 is 2700617137251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5104348 + ... + 5395275.

It is an arithmetic number, because the mean of its divisors is an integer number (35436231000).

Almost surely, 2^{1527317160072} is an apocalyptic number.

1527317160072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1527317160072 is an abundant number, since it is smaller than the sum of its proper divisors (3008520407928).

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

1527317160072 is a wasteful number, since it uses less digits than its factorization.

1527317160072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499691 (or 10499687 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 1527317160072 in words is "one trillion, five hundred twenty-seven billion, three hundred seventeen million, one hundred sixty thousand, seventy-two".