81743200 has 144 divisors (see below), whose sum is σ = 248984064. Its totient is φ = 25459200.

The previous prime is 81743197. The next prime is 81743203. The reversal of 81743200 is 234718.

It is an interprime number because it is at equal distance from previous prime (81743197) and next prime (81743203).

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 (81743203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60937 + ... + 62263.

It is an arithmetic number, because the mean of its divisors is an integer number (1729056).

Almost surely, 2^81743200 is an apocalyptic number.

81743200 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 81743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124492032).

81743200 is an abundant number, since it is smaller than the sum of its proper divisors (167240864).

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

81743200 is a wasteful number, since it uses less digits than its factorization.

81743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 81743200 is about 9041.1946113332. The cubic root of 81743200 is about 433.9941528373.

Adding to 81743200 its reverse (234718), we get a palindrome (81977918).

The spelling of 81743200 in words is "eighty-one million, seven hundred forty-three thousand, two hundred".