272322000000 has 840 divisors, whose sum is σ = 1038329775615. Its totient is φ = 70848000000.

The previous prime is 272321999993. The next prime is 272322000001. The reversal of 272322000000 is 223272.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 261104648256 + 11217351744 = 510984^2 + 105912^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=369000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (272322000001) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 6641999980 + ... + 6642000020.

Almost surely, 2^272322000000 is an apocalyptic number.

272322000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272322000000

272322000000 is an abundant number, since it is smaller than the sum of its proper divisors (766007775615).

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

272322000000 is an frugal number, since it uses more digits than its factorization.

272322000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Multiplying 272322000000 by its sum of digits (18), we get a square (4901796000000 = 2214000²).

272322000000 divided by its sum of digits (18) gives a square (15129000000 = 123000²).

Adding to 272322000000 its reverse (223272), we get a palindrome (272322223272).

The spelling of 272322000000 in words is "two hundred seventy-two billion, three hundred twenty-two million", and thus it is an aban number.