11073142272 has 160 divisors (see below), whose sum is σ = 30066673824. Its totient is φ = 3620864000.

The previous prime is 11073142231. The next prime is 11073142273. The reversal of 11073142272 is 27224137011.

It is a super-2 number, since 2×11073142272² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11073142273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21253372 + ... + 21253892.

Almost surely, 2^11073142272 is an apocalyptic number.

11073142272 is a gapful number since it is divisible by the number (12) 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 11073142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15033336912).

11073142272 is an abundant number, since it is smaller than the sum of its proper divisors (18993531552).

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

11073142272 is a wasteful number, since it uses less digits than its factorization.

11073142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 11073142272 its reverse (27224137011), we get a palindrome (38297279283).

The spelling of 11073142272 in words is "eleven billion, seventy-three million, one hundred forty-two thousand, two hundred seventy-two".