81200772 has 96 divisors (see below), whose sum is σ = 227888640. Its totient is φ = 24906240.

The previous prime is 81200731. The next prime is 81200797. The reversal of 81200772 is 27700218.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85822 + ... + 86762.

It is an arithmetic number, because the mean of its divisors is an integer number (2373840).

Almost surely, 2^81200772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81200772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113944320).

81200772 is an abundant number, since it is smaller than the sum of its proper divisors (146687868).

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

81200772 is a wasteful number, since it uses less digits than its factorization.

81200772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 81200772 is about 9011.1470967907. The cubic root of 81200772 is about 433.0320617292.

The spelling of 81200772 in words is "eighty-one million, two hundred thousand, seven hundred seventy-two".