127193872 has 40 divisors (see below), whose sum is σ = 269385536. Its totient is φ = 57822336.

The previous prime is 127193867. The next prime is 127193893. The reversal of 127193872 is 278391721.

It is a happy number.

It is a super-3 number, since 3×127193872³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9373 + ... + 18499.

Almost surely, 2^127193872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127193872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134692768).

127193872 is an abundant number, since it is smaller than the sum of its proper divisors (142191664).

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

127193872 is a wasteful number, since it uses less digits than its factorization.

127193872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9215 (or 9209 counting only the distinct ones).

The product of its digits is 42336, while the sum is 40.

The square root of 127193872 is about 11278.0260684217. The cubic root of 127193872 is about 502.9082144483.

The spelling of 127193872 in words is "one hundred twenty-seven million, one hundred ninety-three thousand, eight hundred seventy-two".