82373200 has 240 divisors, whose sum is σ = 254872576. Its totient is φ = 24883200.

The previous prime is 82373197. The next prime is 82373209. The reversal of 82373200 is 237328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82373209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1128364 + ... + 1128436.

Almost surely, 2^82373200 is an apocalyptic number.

82373200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127436288).

82373200 is an abundant number, since it is smaller than the sum of its proper divisors (172499376).

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

82373200 is a wasteful number, since it uses less digits than its factorization.

82373200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 82373200 is about 9075.9682679040. The cubic root of 82373200 is about 435.1062408405.

The spelling of 82373200 in words is "eighty-two million, three hundred seventy-three thousand, two hundred".