672072040000 has 105 divisors (see below), whose sum is σ = 1666926902487. Its totient is φ = 268763232000.

The previous prime is 672072039983. The next prime is 672072040009. The reversal of 672072040000 is 40270276.

The square root of 672072040000 is 819800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 52690447936 + 619381592064 = 229544^2 + 787008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (672072040009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 163957951 + ... + 163962049.

Almost surely, 2^672072040000 is an apocalyptic number.

672072040000 is the 819800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672072040000

672072040000 is an abundant number, since it is smaller than the sum of its proper divisors (994854862487).

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

672072040000 is an frugal number, since it uses more digits than its factorization.

672072040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 672072040000 in words is "six hundred seventy-two billion, seventy-two million, forty thousand".