126581728 has 96 divisors (see below), whose sum is σ = 324886464. Its totient is φ = 47112192.

The previous prime is 126581717. The next prime is 126581729. The reversal of 126581728 is 827185621.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126581729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48226 + ... + 50782.

It is an arithmetic number, because the mean of its divisors is an integer number (3384234).

Almost surely, 2^126581728 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 126581728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162443232).

126581728 is an abundant number, since it is smaller than the sum of its proper divisors (198304736).

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

126581728 is a wasteful number, since it uses less digits than its factorization.

126581728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2596 counting only the distinct ones).

The product of its digits is 53760, while the sum is 40.

The square root of 126581728 is about 11250.8545453223. The cubic root of 126581728 is about 502.1001371640.

The spelling of 126581728 in words is "one hundred twenty-six million, five hundred eighty-one thousand, seven hundred twenty-eight".