182072448 has 160 divisors (see below), whose sum is σ = 574273260. Its totient is φ = 57065472.

The previous prime is 182072447. The next prime is 182072453. The reversal of 182072448 is 844270281.

182072448 is a `hidden beast` number, since 1 + 8 + 207 + 2 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148060224 + 34012224 = 12168^2 + 5832^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182072447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175740 + ... + 176772.

Almost surely, 2^182072448 is an apocalyptic number.

182072448 is a gapful number since it is divisible by the number (18) 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 182072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287136630).

182072448 is an abundant number, since it is smaller than the sum of its proper divisors (392200812).

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

182072448 is a wasteful number, since it uses less digits than its factorization.

182072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 182072448 is about 13493.4223975980. The cubic root of 182072448 is about 566.7802961674.

The spelling of 182072448 in words is "one hundred eighty-two million, seventy-two thousand, four hundred forty-eight".