1157382272 has 72 divisors (see below), whose sum is σ = 2407315005. Its totient is φ = 554250240.

The previous prime is 1157382269. The next prime is 1157382293. The reversal of 1157382272 is 2722837511.

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 2 ways, for example, as 1154368576 + 3013696 = 33976^2 + 1736^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=24056.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11931728 + ... + 11931824.

Almost surely, 2^1157382272 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 1157382272

1157382272 is an abundant number, since it is smaller than the sum of its proper divisors (1249932733).

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

1157382272 is an frugal number, since it uses more digits than its factorization.

1157382272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 130 counting only the distinct ones).

The product of its digits is 47040, while the sum is 38.

The square root of 1157382272 is about 34020.3214564472. The cubic root of 1157382272 is about 1049.9266077198.

The spelling of 1157382272 in words is "one billion, one hundred fifty-seven million, three hundred eighty-two thousand, two hundred seventy-two".