82237200 has 60 divisors (see below), whose sum is σ = 263437008. Its totient is φ = 21929600.

The previous prime is 82237163. The next prime is 82237223. The reversal of 82237200 is 273228.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33066 + ... + 35465.

Almost surely, 2^82237200 is an apocalyptic number.

82237200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82237200 is an abundant number, since it is smaller than the sum of its proper divisors (181199808).

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

82237200 is a wasteful number, since it uses less digits than its factorization.

82237200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68552 (or 68541 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 82237200 is about 9068.4728593077. The cubic root of 82237200 is about 434.8666522171.

The spelling of 82237200 in words is "eighty-two million, two hundred thirty-seven thousand, two hundred".