72126380 has 24 divisors (see below), whose sum is σ = 155161440. Its totient is φ = 28146560.

The previous prime is 72126377. The next prime is 72126389. The reversal of 72126380 is 8362127.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72126389) 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 7 ways as a sum of consecutive naturals, for example, 43160 + ... + 44799.

It is an arithmetic number, because the mean of its divisors is an integer number (6465060).

Almost surely, 2^72126380 is an apocalyptic number.

It is an amenable number.

72126380 is an abundant number, since it is smaller than the sum of its proper divisors (83035060).

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

72126380 is a wasteful number, since it uses less digits than its factorization.

72126380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88009 (or 88007 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 72126380 is about 8492.7251221266. The cubic root of 72126380 is about 416.2600306601.

The spelling of 72126380 in words is "seventy-two million, one hundred twenty-six thousand, three hundred eighty".