127723232 has 96 divisors (see below), whose sum is σ = 323108352. Its totient is φ = 48305664.

The previous prime is 127723229. The next prime is 127723243. The reversal of 127723232 is 232327721.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 127723195 and 127723204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66023 + ... + 67929.

It is an arithmetic number, because the mean of its divisors is an integer number (3365712).

Almost surely, 2^127723232 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 127723232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161554176).

127723232 is an abundant number, since it is smaller than the sum of its proper divisors (195385120).

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

127723232 is a wasteful number, since it uses less digits than its factorization.

127723232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1952 counting only the distinct ones).

The product of its digits is 7056, while the sum is 29.

The square root of 127723232 is about 11301.4703468177. The cubic root of 127723232 is about 503.6049226025.

The spelling of 127723232 in words is "one hundred twenty-seven million, seven hundred twenty-three thousand, two hundred thirty-two".