1159575072 has 96 divisors (see below), whose sum is σ = 3097725120. Its totient is φ = 379745280.

The previous prime is 1159575059. The next prime is 1159575077. The reversal of 1159575072 is 2705759511.

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

It is a super-2 number, since 2×1159575072² = 2689228695207610368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1159575077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2143122 + ... + 2143662.

It is an arithmetic number, because the mean of its divisors is an integer number (32267970).

Almost surely, 2^1159575072 is an apocalyptic number.

1159575072 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 1159575072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548862560).

1159575072 is an abundant number, since it is smaller than the sum of its proper divisors (1938150048).

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

1159575072 is a wasteful number, since it uses less digits than its factorization.

1159575072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 42.

The square root of 1159575072 is about 34052.5340026260. The cubic root of 1159575072 is about 1050.5892601749.

The spelling of 1159575072 in words is "one billion, one hundred fifty-nine million, five hundred seventy-five thousand, seventy-two".