126005572 has 48 divisors (see below), whose sum is σ = 282377088. Its totient is φ = 47761920.

The previous prime is 126005563. The next prime is 126005573. The reversal of 126005572 is 275500621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 126005572.

It is not an unprimeable number, because it can be changed into a prime (126005573) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5868 + ... + 16924.

It is an arithmetic number, because the mean of its divisors is an integer number (5882856).

Almost surely, 2^126005572 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 126005572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141188544).

126005572 is an abundant number, since it is smaller than the sum of its proper divisors (156371516).

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

126005572 is a wasteful number, since it uses less digits than its factorization.

126005572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11116 (or 11114 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 126005572 is about 11225.2203541846. The cubic root of 126005572 is about 501.3371833600.

The spelling of 126005572 in words is "one hundred twenty-six million, five thousand, five hundred seventy-two".