72000126 has 48 divisors (see below), whose sum is σ = 172373760. Its totient is φ = 21537360.

The previous prime is 72000121. The next prime is 72000133. The reversal of 72000126 is 62100027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

72000126 is a modest number, since divided by 126 gives 72 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72000099 and 72000108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72000121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13341 + ... + 17943.

It is an arithmetic number, because the mean of its divisors is an integer number (3591120).

Almost surely, 2^72000126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72000126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86186880).

72000126 is an abundant number, since it is smaller than the sum of its proper divisors (100373634).

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

72000126 is a wasteful number, since it uses less digits than its factorization.

72000126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72000126 is about 8485.2887988565. The cubic root of 72000126 is about 416.0170072867.

Subtracting from 72000126 its reverse (62100027), we obtain a palindrome (9900099).

It can be divided in two parts, 720001 and 26, that added together give a palindrome (720027).

The spelling of 72000126 in words is "seventy-two million, one hundred twenty-six", and thus it is an aban number.