72126034 has 16 divisors (see below), whose sum is σ = 110557656. Its totient is φ = 35280000.

The previous prime is 72126031. The next prime is 72126077. The reversal of 72126034 is 43062127.

It can be written as a sum of positive squares in 4 ways, for example, as 63441225 + 8684809 = 7965^2 + 2947^2 .

It is not an unprimeable number, because it can be changed into a prime (72126031) 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 7 ways as a sum of consecutive naturals, for example, 22534 + ... + 25534.

Almost surely, 2^72126034 is an apocalyptic number.

72126034 is a deficient number, since it is larger than the sum of its proper divisors (38431622).

72126034 is a wasteful number, since it uses less digits than its factorization.

72126034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 72126034 is about 8492.7047517266. The cubic root of 72126034 is about 416.2593650404.

The spelling of 72126034 in words is "seventy-two million, one hundred twenty-six thousand, thirty-four".