72126912 has 224 divisors, whose sum is σ = 233501184. Its totient is φ = 19353600.

The previous prime is 72126889. The next prime is 72126947. The reversal of 72126912 is 21962127.

It is a self number, because there is not a number n which added to its sum of digits gives 72126912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015837 + ... + 1015907.

It is an arithmetic number, because the mean of its divisors is an integer number (1042416).

Almost surely, 2^72126912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72126912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

72126912 is an abundant number, since it is smaller than the sum of its proper divisors (161374272).

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

72126912 is a wasteful number, since it uses less digits than its factorization.

72126912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 72126912 is about 8492.7564429931. The cubic root of 72126912 is about 416.2610540942.

The spelling of 72126912 in words is "seventy-two million, one hundred twenty-six thousand, nine hundred twelve".