82372680 has 128 divisors (see below), whose sum is σ = 295747200. Its totient is φ = 20272896.

The previous prime is 82372679. The next prime is 82372699. The reversal of 82372680 is 8627328.

It is a happy number.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11107 + ... + 16973.

It is an arithmetic number, because the mean of its divisors is an integer number (2310525).

Almost surely, 2^82372680 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 82372680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147873600).

82372680 is an abundant number, since it is smaller than the sum of its proper divisors (213374520).

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

82372680 is a wasteful number, since it uses less digits than its factorization.

82372680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82372680 is about 9075.9396207776. The cubic root of 82372680 is about 435.1053252687.

The spelling of 82372680 in words is "eighty-two million, three hundred seventy-two thousand, six hundred eighty".