127697472 has 392 divisors, whose sum is σ = 479730816. Its totient is φ = 32845824.

The previous prime is 127697447. The next prime is 127697473. The reversal of 127697472 is 274796721.

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

It is not an unprimeable number, because it can be changed into a prime (127697473) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5552053 + ... + 5552075.

Almost surely, 2^127697472 is an apocalyptic number.

127697472 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 127697472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239865408).

127697472 is an abundant number, since it is smaller than the sum of its proper divisors (352033344).

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

127697472 is an equidigital number, since it uses as much as digits as its factorization.

127697472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 127697472 is about 11300.3306146325. The cubic root of 127697472 is about 503.5710636226.

The spelling of 127697472 in words is "one hundred twenty-seven million, six hundred ninety-seven thousand, four hundred seventy-two".