81480672 has 144 divisors (see below), whose sum is σ = 285274080. Its totient is φ = 21482496.

The previous prime is 81480667. The next prime is 81480673. The reversal of 81480672 is 27608418.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81480673) 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, 24654 + ... + 27762.

It is an arithmetic number, because the mean of its divisors is an integer number (1981070).

Almost surely, 2^81480672 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 81480672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142637040).

81480672 is an abundant number, since it is smaller than the sum of its proper divisors (203793408).

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

81480672 is a wasteful number, since it uses less digits than its factorization.

81480672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 81480672 is about 9026.6645002459. The cubic root of 81480672 is about 433.5290466363.

The spelling of 81480672 in words is "eighty-one million, four hundred eighty thousand, six hundred seventy-two".