72126140 has 24 divisors (see below), whose sum is σ = 151811520. Its totient is φ = 28784448.

The previous prime is 72126133. The next prime is 72126151. The reversal of 72126140 is 4162127.

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 7 ways as a sum of consecutive naturals, for example, 5366 + ... + 13154.

It is an arithmetic number, because the mean of its divisors is an integer number (6325480).

Almost surely, 2^72126140 is an apocalyptic number.

It is an amenable number.

72126140 is an abundant number, since it is smaller than the sum of its proper divisors (79685380).

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

72126140 is a wasteful number, since it uses less digits than its factorization.

72126140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8259 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 72126140 is about 8492.7109923746. The cubic root of 72126140 is about 416.2595689588.

Adding to 72126140 its reverse (4162127), we get a palindrome (76288267).

The spelling of 72126140 in words is "seventy-two million, one hundred twenty-six thousand, one hundred forty".