102727417572 has 72 divisors (see below), whose sum is σ = 294365140160. Its totient is φ = 29944831680.

The previous prime is 102727417571. The next prime is 102727417643. The reversal of 102727417572 is 275714727201.

102727417572 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 2 + 74 + 1 + 7 + 572 = 666.

It is not an unprimeable number, because it can be changed into a prime (102727417571) 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, 5767504 + ... + 5785287.

Almost surely, 2^102727417572 is an apocalyptic number.

102727417572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102727417572 is an abundant number, since it is smaller than the sum of its proper divisors (191637722588).

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

102727417572 is a wasteful number, since it uses less digits than its factorization.

102727417572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11552833 (or 11552828 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The spelling of 102727417572 in words is "one hundred two billion, seven hundred twenty-seven million, four hundred seventeen thousand, five hundred seventy-two".