83472 has 40 divisors (see below), whose sum is σ = 226176. Its totient is φ = 26496.

The previous prime is 83471. The next prime is 83477. The reversal of 83472 is 27438.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (83471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1753 + ... + 1799.

2⁸³⁴⁷² 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 83472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088).

83472 is an abundant number, since it is smaller than the sum of its proper divisors (142704).

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

83472 is a wasteful number, since it uses less digits than its factorization.

83472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 83472 is about 288.9152124759. The cubic root of 83472 is about 43.7032371094.

Subtracting from 83472 its product of digits (1344), we obtain a palindrome (82128).

It can be divided in two parts, 83 and 472, that added together give a palindrome (555).

The spelling of 83472 in words is "eighty-three thousand, four hundred seventy-two".