127344672 has 288 divisors, whose sum is σ = 460107648. Its totient is φ = 32514048.

The previous prime is 127344653. The next prime is 127344673. The reversal of 127344672 is 276443721.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (56448) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (127344673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1126888 + ... + 1127000.

It is an arithmetic number, because the mean of its divisors is an integer number (1597596).

Almost surely, 2^127344672 is an apocalyptic number.

127344672 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 127344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230053824).

127344672 is an abundant number, since it is smaller than the sum of its proper divisors (332762976).

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

127344672 is a wasteful number, since it uses less digits than its factorization.

127344672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 127344672 is about 11284.7096551041. The cubic root of 127344672 is about 503.1068838918.

The spelling of 127344672 in words is "one hundred twenty-seven million, three hundred forty-four thousand, six hundred seventy-two".