127788672 has 64 divisors (see below), whose sum is σ = 370308960. Its totient is φ = 38722560.

The previous prime is 127788613. The next prime is 127788679. The reversal of 127788672 is 276887721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (127788679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10903 + ... + 19350.

Almost surely, 2^127788672 is an apocalyptic number.

127788672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127788672 is an abundant number, since it is smaller than the sum of its proper divisors (242520288).

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

127788672 is a wasteful number, since it uses less digits than its factorization.

127788672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30281 (or 30269 counting only the distinct ones).

The product of its digits is 526848, while the sum is 48.

The square root of 127788672 is about 11304.3651745686. The cubic root of 127788672 is about 503.6909165621.

The spelling of 127788672 in words is "one hundred twenty-seven million, seven hundred eighty-eight thousand, six hundred seventy-two".