127973472 has 144 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 37016320.

The previous prime is 127973471. The next prime is 127973473. The reversal of 127973472 is 274379721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (127973471) and next prime (127973473).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127973471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266929 + ... + 267407.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^127973472 is an apocalyptic number.

127973472 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 127973472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

127973472 is an abundant number, since it is smaller than the sum of its proper divisors (258130848).

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

127973472 is a wasteful number, since it uses less digits than its factorization.

127973472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 518 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 127973472 is about 11312.5360551912. The cubic root of 127973472 is about 503.9336017341.

The spelling of 127973472 in words is "one hundred twenty-seven million, nine hundred seventy-three thousand, four hundred seventy-two".