83528172 has 120 divisors (see below), whose sum is σ = 268844576. Its totient is φ = 22021632.

The previous prime is 83528141. The next prime is 83528173. The reversal of 83528172 is 27182538.

It is a super-3 number, since 3×83528172³ (a number of 25 digits) contains 333 as substring.

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 (83528173) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28068 + ... + 30900.

Almost surely, 2^83528172 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 83528172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134422288).

83528172 is an abundant number, since it is smaller than the sum of its proper divisors (185316404).

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

83528172 is a wasteful number, since it uses less digits than its factorization.

83528172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2858 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 83528172 is about 9139.3748145045. The cubic root of 83528172 is about 437.1303819145.

The spelling of 83528172 in words is "eighty-three million, five hundred twenty-eight thousand, one hundred seventy-two".