182072814 has 64 divisors (see below), whose sum is σ = 457892352. Its totient is φ = 47277120.

The previous prime is 182072789. The next prime is 182072881. The reversal of 182072814 is 418270281.

It is a happy number.

182072814 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54274 + ... + 57530.

It is an arithmetic number, because the mean of its divisors is an integer number (7154568).

Almost surely, 2^182072814 is an apocalyptic number.

182072814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 182072814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228946176).

182072814 is an abundant number, since it is smaller than the sum of its proper divisors (275819538).

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

182072814 is a wasteful number, since it uses less digits than its factorization.

182072814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 182072814 is about 13493.4359597547. The cubic root of 182072814 is about 566.7806759457.

The spelling of 182072814 in words is "one hundred eighty-two million, seventy-two thousand, eight hundred fourteen".