127317372 has 96 divisors (see below), whose sum is σ = 377524224. Its totient is φ = 32486400.

The previous prime is 127317331. The next prime is 127317401. The reversal of 127317372 is 273713721.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31972 + ... + 35732.

It is an arithmetic number, because the mean of its divisors is an integer number (3932544).

Almost surely, 2^127317372 is an apocalyptic number.

127317372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 11283×11284.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127317372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188762112).

127317372 is an abundant number, since it is smaller than the sum of its proper divisors (250206852).

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

127317372 is a wasteful number, since it uses less digits than its factorization.

127317372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3817 counting only the distinct ones).

The product of its digits is 12348, while the sum is 33.

The square root of 127317372 is about 11283.4999889219. The cubic root of 127317372 is about 503.0709295030.

It can be divided in two parts, 127317 and 372, that multiplied together give a square (47361924 = 6882²).

The spelling of 127317372 in words is "one hundred twenty-seven million, three hundred seventeen thousand, three hundred seventy-two".