81472 has 28 divisors (see below), whose sum is σ = 172720. Its totient is φ = 38016.

The previous prime is 81463. The next prime is 81509. The reversal of 81472 is 27418.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

81472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1183 + ... + 1249.

2⁸¹⁴⁷² 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 81472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86360).

81472 is an abundant number, since it is smaller than the sum of its proper divisors (91248).

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

81472 is a wasteful number, since it uses less digits than its factorization.

81472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 81472 is about 285.4330043986. The cubic root of 81472 is about 43.3513665904.

The spelling of 81472 in words is "eighty-one thousand, four hundred seventy-two".