127187472 has 80 divisors (see below), whose sum is σ = 352477440. Its totient is φ = 39376896.

The previous prime is 127187461. The next prime is 127187479. The reversal of 127187472 is 274781721.

It is a self number, because there is not a number n which added to its sum of digits gives 127187472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127187479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63478 + ... + 65450.

It is an arithmetic number, because the mean of its divisors is an integer number (4405968).

Almost surely, 2^127187472 is an apocalyptic number.

127187472 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 127187472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176238720).

127187472 is an abundant number, since it is smaller than the sum of its proper divisors (225289968).

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

127187472 is a wasteful number, since it uses less digits than its factorization.

127187472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2074 counting only the distinct ones).

The product of its digits is 43904, while the sum is 39.

The square root of 127187472 is about 11277.7423272568. The cubic root of 127187472 is about 502.8997793812.

The spelling of 127187472 in words is "one hundred twenty-seven million, one hundred eighty-seven thousand, four hundred seventy-two".