11572611072 has 96 divisors (see below), whose sum is σ = 33657755040. Its totient is φ = 3506831360.

The previous prime is 11572611047. The next prime is 11572611073. The reversal of 11572611072 is 27011627511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×11572611072⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11572611073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18033 + ... + 153200.

It is an arithmetic number, because the mean of its divisors is an integer number (350601615).

Almost surely, 2^11572611072 is an apocalyptic number.

11572611072 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 11572611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828877520).

11572611072 is an abundant number, since it is smaller than the sum of its proper divisors (22085143968).

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

11572611072 is a wasteful number, since it uses less digits than its factorization.

11572611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171269 (or 171249 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 33.

The spelling of 11572611072 in words is "eleven billion, five hundred seventy-two million, six hundred eleven thousand, seventy-two".