126072936 has 160 divisors (see below), whose sum is σ = 402494400. Its totient is φ = 36495360.

The previous prime is 126072929. The next prime is 126072953. The reversal of 126072936 is 639270621.

126072936 is a `hidden beast` number, since 12 + 607 + 2 + 9 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126072936.

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 39 ways as a sum of consecutive naturals, for example, 163560 + ... + 164328.

It is an arithmetic number, because the mean of its divisors is an integer number (2515590).

Almost surely, 2^126072936 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 126072936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201247200).

126072936 is an abundant number, since it is smaller than the sum of its proper divisors (276421464).

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

126072936 is a wasteful number, since it uses less digits than its factorization.

126072936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 126072936 is about 11228.2205179628. The cubic root of 126072936 is about 501.4265076149.

The spelling of 126072936 in words is "one hundred twenty-six million, seventy-two thousand, nine hundred thirty-six".