223073290272 has 216 divisors, whose sum is σ = 718913660976. Its totient is φ = 60380280576.

The previous prime is 223073290229. The next prime is 223073290273. The reversal of 223073290272 is 272092370322.

It is a super-3 number, since 3×223073290272³ (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 223073290272.

It is not an unprimeable number, because it can be changed into a prime (223073290273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1632463 + ... + 1763825.

It is an arithmetic number, because the mean of its divisors is an integer number (3328303986).

Almost surely, 2^223073290272 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 223073290272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359456830488).

223073290272 is an abundant number, since it is smaller than the sum of its proper divisors (495840370704).

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

223073290272 is a wasteful number, since it uses less digits than its factorization.

223073290272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131428 (or 131394 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 223073290272 in words is "two hundred twenty-three billion, seventy-three million, two hundred ninety thousand, two hundred seventy-two".