127157472 has 96 divisors (see below), whose sum is σ = 399440160. Its totient is φ = 39121920.

The previous prime is 127157453. The next prime is 127157473. The reversal of 127157472 is 274751721.

127157472 is a `hidden beast` number, since 12 + 7 + 1 + 574 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127157473) 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 15 ways as a sum of consecutive naturals, for example, 5572 + ... + 16892.

It is an arithmetic number, because the mean of its divisors is an integer number (4160835).

Almost surely, 2^127157472 is an apocalyptic number.

127157472 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 127157472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199720080).

127157472 is an abundant number, since it is smaller than the sum of its proper divisors (272282688).

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

127157472 is a wasteful number, since it uses less digits than its factorization.

127157472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11353 (or 11339 counting only the distinct ones).

The product of its digits is 27440, while the sum is 36.

The square root of 127157472 is about 11276.4121953749. The cubic root of 127157472 is about 502.8602362315.

The spelling of 127157472 in words is "one hundred twenty-seven million, one hundred fifty-seven thousand, four hundred seventy-two".