72126300 has 36 divisors (see below), whose sum is σ = 208686296. Its totient is φ = 19233600.

The previous prime is 72126293. The next prime is 72126317. The reversal of 72126300 is 362127.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 119911 + ... + 120510.

Almost surely, 2^72126300 is an apocalyptic number.

It is an amenable number.

72126300 is an abundant number, since it is smaller than the sum of its proper divisors (136559996).

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

72126300 is a wasteful number, since it uses less digits than its factorization.

72126300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240438 (or 240431 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72126300 is about 8492.7204122119. The cubic root of 72126300 is about 416.2598767598.

Adding to 72126300 its reverse (362127), we get a palindrome (72488427).

The spelling of 72126300 in words is "seventy-two million, one hundred twenty-six thousand, three hundred".