82372384 has 24 divisors (see below), whose sum is σ = 169223040. Its totient is φ = 39395136.

The previous prime is 82372357. The next prime is 82372417. The reversal of 82372384 is 48327328.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55224 + ... + 56695.

It is an arithmetic number, because the mean of its divisors is an integer number (7050960).

Almost surely, 2^82372384 is an apocalyptic number.

It is an amenable number.

82372384 is an abundant number, since it is smaller than the sum of its proper divisors (86850656).

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

82372384 is a wasteful number, since it uses less digits than its factorization.

82372384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111952 (or 111944 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 82372384 is about 9075.9233139114. The cubic root of 82372384 is about 435.1048040954.

The spelling of 82372384 in words is "eighty-two million, three hundred seventy-two thousand, three hundred eighty-four".