72126306780 has 144 divisors (see below), whose sum is σ = 222434698752. Its totient is φ = 17449520000.

The previous prime is 72126306773. The next prime is 72126306799. The reversal of 72126306780 is 8760362127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3641905 + ... + 3661655.

It is an arithmetic number, because the mean of its divisors is an integer number (1544685408).

Almost surely, 2^72126306780 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 72126306780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111217349376).

72126306780 is an abundant number, since it is smaller than the sum of its proper divisors (150308391972).

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

72126306780 is a wasteful number, since it uses less digits than its factorization.

72126306780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20288 (or 20275 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 72126306780 in words is "seventy-two billion, one hundred twenty-six million, three hundred six thousand, seven hundred eighty".