81567200 has 288 divisors, whose sum is σ = 251983872. Its totient is φ = 25344000.

The previous prime is 81567193. The next prime is 81567217. The reversal of 81567200 is 276518.

It is a super-3 number, since 3×81567200³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2631185 + ... + 2631215.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 2^81567200 is an apocalyptic number.

81567200 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 81567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

81567200 is an abundant number, since it is smaller than the sum of its proper divisors (170416672).

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

81567200 is a wasteful number, since it uses less digits than its factorization.

81567200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 81567200 is about 9031.4561395159. The cubic root of 81567200 is about 433.6824536941.

The spelling of 81567200 in words is "eighty-one million, five hundred sixty-seven thousand, two hundred".