115672284 has 288 divisors, whose sum is σ = 399200256. Its totient is φ = 27371520.

The previous prime is 115672283. The next prime is 115672289. The reversal of 115672284 is 482276511.

115672284 is a `hidden beast` number, since 11 + 567 + 2 + 2 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (26880) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115672283) 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 95 ways as a sum of consecutive naturals, for example, 1726419 + ... + 1726485.

It is an arithmetic number, because the mean of its divisors is an integer number (1386112).

Almost surely, 2^115672284 is an apocalyptic number.

115672284 is a gapful number since it is divisible by the number (14) 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 115672284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199600128).

115672284 is an abundant number, since it is smaller than the sum of its proper divisors (283527972).

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

115672284 is a wasteful number, since it uses less digits than its factorization.

115672284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 140 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 115672284 is about 10755.1050204078. The cubic root of 115672284 is about 487.2401897654.

The spelling of 115672284 in words is "one hundred fifteen million, six hundred seventy-two thousand, two hundred eighty-four".