127973376 has 144 divisors (see below), whose sum is σ = 379459080. Its totient is φ = 41533440.

The previous prime is 127973371. The next prime is 127973381. The reversal of 127973376 is 673379721.

127973376 is a `hidden beast` number, since 1 + 279 + 7 + 3 + 376 = 666.

It is an interprime number because it is at equal distance from previous prime (127973371) and next prime (127973381).

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (333396) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127973371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976831 + ... + 976961.

Almost surely, 2^127973376 is an apocalyptic number.

127973376 is a gapful number since it is divisible by the number (16) 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 127973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189729540).

127973376 is an abundant number, since it is smaller than the sum of its proper divisors (251485704).

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

127973376 is a wasteful number, since it uses less digits than its factorization.

127973376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The square root of 127973376 is about 11312.5318121100. The cubic root of 127973376 is about 503.9334757246.

The spelling of 127973376 in words is "one hundred twenty-seven million, nine hundred seventy-three thousand, three hundred seventy-six".