115272000 has 168 divisors, whose sum is σ = 412604712. Its totient is φ = 30720000.

The previous prime is 115271971. The next prime is 115272023. The reversal of 115272000 is 272511.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 112529664 = 1656^2 + 10608^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71200 + ... + 72800.

Almost surely, 2^115272000 is an apocalyptic number.

115272000 is a gapful number since it is divisible by the number (10) 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 115272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206302356).

115272000 is an abundant number, since it is smaller than the sum of its proper divisors (297332712).

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

115272000 is a wasteful number, since it uses less digits than its factorization.

115272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 115272000 is about 10736.4798700505. The cubic root of 115272000 is about 486.6775085677.

The spelling of 115272000 in words is "one hundred fifteen million, two hundred seventy-two thousand".