81373200 has 240 divisors, whose sum is σ = 284148480. Its totient is φ = 19837440.

The previous prime is 81373183. The next prime is 81373211. The reversal of 81373200 is 237318.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 980359 + ... + 980441.

It is an arithmetic number, because the mean of its divisors is an integer number (1183952).

Almost surely, 2^81373200 is an apocalyptic number.

81373200 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 81373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142074240).

81373200 is an abundant number, since it is smaller than the sum of its proper divisors (202775280).

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

81373200 is a wasteful number, since it uses less digits than its factorization.

81373200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 81373200 is about 9020.7095064634. The cubic root of 81373200 is about 433.3383562863.

It can be divided in two parts, 81 and 373200, that multiplied together give a triangular number (30229200 = T₇₇₇₅).

The spelling of 81373200 in words is "eighty-one million, three hundred seventy-three thousand, two hundred".