126006072 has 64 divisors (see below), whose sum is σ = 326937600. Its totient is φ = 40427520.

The previous prime is 126006059. The next prime is 126006109. The reversal of 126006072 is 270600621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190879 + ... + 191537.

It is an arithmetic number, because the mean of its divisors is an integer number (5108400).

Almost surely, 2^126006072 is an apocalyptic number.

126006072 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 126006072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163468800).

126006072 is an abundant number, since it is smaller than the sum of its proper divisors (200931528).

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

126006072 is a wasteful number, since it uses less digits than its factorization.

126006072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 126006072 is about 11225.2426254402. The cubic root of 126006072 is about 501.3378464743.

Adding to 126006072 its reverse (270600621), we get a palindrome (396606693).

The spelling of 126006072 in words is "one hundred twenty-six million, six thousand, seventy-two".