127680972 has 24 divisors (see below), whose sum is σ = 298158000. Its totient is φ = 42526656.

The previous prime is 127680961. The next prime is 127680979. The reversal of 127680972 is 279086721.

It is a super-2 number, since 2×127680972² = 32604861221729568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127680979) by changing a digit.

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, 15154 + ... + 22022.

It is an arithmetic number, because the mean of its divisors is an integer number (12423250).

Almost surely, 2^127680972 is an apocalyptic number.

127680972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127680972 is an abundant number, since it is smaller than the sum of its proper divisors (170477028).

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

127680972 is a wasteful number, since it uses less digits than its factorization.

127680972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8425 (or 8423 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 127680972 is about 11299.6005239123. The cubic root of 127680972 is about 503.5493736071.

The spelling of 127680972 in words is "one hundred twenty-seven million, six hundred eighty thousand, nine hundred seventy-two".