82370112 has 112 divisors (see below), whose sum is σ = 243547392. Its totient is φ = 24353280.

The previous prime is 82370089. The next prime is 82370143. The reversal of 82370112 is 21107328.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90363 + ... + 91269.

Almost surely, 2^82370112 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 82370112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121773696).

82370112 is an abundant number, since it is smaller than the sum of its proper divisors (161177280).

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

82370112 is a wasteful number, since it uses less digits than its factorization.

82370112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 82370112 is about 9075.7981467197. The cubic root of 82370112 is about 435.1008036964.

The spelling of 82370112 in words is "eighty-two million, three hundred seventy thousand, one hundred twelve".