72182136 has 128 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 20183040.

The previous prime is 72182129. The next prime is 72182137. The reversal of 72182136 is 63128127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72182137) 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 31 ways as a sum of consecutive naturals, for example, 164205 + ... + 164643.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2^72182136 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 72182136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

72182136 is an abundant number, since it is smaller than the sum of its proper divisors (140707464).

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

72182136 is a wasteful number, since it uses less digits than its factorization.

72182136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 72182136 is about 8496.0070621440. The cubic root of 72182136 is about 416.3672638083.

The spelling of 72182136 in words is "seventy-two million, one hundred eighty-two thousand, one hundred thirty-six".