126527232 has 288 divisors, whose sum is σ = 412070400. Its totient is φ = 34062336.

The previous prime is 126527207. The next prime is 126527249. The reversal of 126527232 is 232725621.

It is a self number, because there is not a number n which added to its sum of digits gives 126527232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4362994 + ... + 4363022.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 2^126527232 is an apocalyptic number.

126527232 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 126527232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206035200).

126527232 is an abundant number, since it is smaller than the sum of its proper divisors (285543168).

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

126527232 is a wasteful number, since it uses less digits than its factorization.

126527232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 126527232 is about 11248.4324241203. The cubic root of 126527232 is about 502.0280720586.

The spelling of 126527232 in words is "one hundred twenty-six million, five hundred twenty-seven thousand, two hundred thirty-two".