127793232 has 120 divisors (see below), whose sum is σ = 413265216. Its totient is φ = 36108288.

The previous prime is 127793219. The next prime is 127793249. The reversal of 127793232 is 232397721.

It is a super-2 number, since 2×127793232² = 32662220290011648, which contains 22 as substring.

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

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97123 + ... + 98429.

Almost surely, 2^127793232 is an apocalyptic number.

127793232 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 127793232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206632608).

127793232 is an abundant number, since it is smaller than the sum of its proper divisors (285471984).

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

127793232 is a wasteful number, since it uses less digits than its factorization.

With its successor (127793233) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1416).

127793232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1416 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 127793232 is about 11304.5668647675. The cubic root of 127793232 is about 503.6969077119.

The spelling of 127793232 in words is "one hundred twenty-seven million, seven hundred ninety-three thousand, two hundred thirty-two".