81276003072 has 288 divisors, whose sum is σ = 273602972160. Its totient is φ = 23557754880.

The previous prime is 81276002993. The next prime is 81276003077. The reversal of 81276003072 is 27030067218.

81276003072 is a `hidden beast` number, since 8 + 12 + 7 + 600 + 30 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81276003077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725498 + ... + 1771974.

It is an arithmetic number, because the mean of its divisors is an integer number (950010320).

Almost surely, 2^81276003072 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 81276003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136801486080).

81276003072 is an abundant number, since it is smaller than the sum of its proper divisors (192326969088).

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

81276003072 is a wasteful number, since it uses less digits than its factorization.

81276003072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46536 (or 46516 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 81276003072 in words is "eighty-one billion, two hundred seventy-six million, three thousand, seventy-two".