127656972 has 120 divisors (see below), whose sum is σ = 356756400. Its totient is φ = 39688704.

The previous prime is 127656967. The next prime is 127656973. The reversal of 127656972 is 279656721.

127656972 is a `hidden beast` number, since 12 + 7 + 6 + 569 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127656973) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 547768 + ... + 548000.

It is an arithmetic number, because the mean of its divisors is an integer number (2972970).

Almost surely, 2^127656972 is an apocalyptic number.

127656972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127656972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178378200).

127656972 is an abundant number, since it is smaller than the sum of its proper divisors (229099428).

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

127656972 is a wasteful number, since it uses less digits than its factorization.

127656972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 127656972 is about 11298.5384895570. The cubic root of 127656972 is about 503.5178211576.

The spelling of 127656972 in words is "one hundred twenty-seven million, six hundred fifty-six thousand, nine hundred seventy-two".