83235672 has 96 divisors (see below), whose sum is σ = 257100480. Its totient is φ = 24099840.

The previous prime is 83235671. The next prime is 83235739. The reversal of 83235672 is 27653238.

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 (83235671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13297 + ... + 18527.

It is an arithmetic number, because the mean of its divisors is an integer number (2678130).

Almost surely, 2^83235672 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 83235672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128550240).

83235672 is an abundant number, since it is smaller than the sum of its proper divisors (173864808).

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

83235672 is a wasteful number, since it uses less digits than its factorization.

83235672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5266 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 83235672 is about 9123.3585920975. The cubic root of 83235672 is about 436.6195356030.

The spelling of 83235672 in words is "eighty-three million, two hundred thirty-five thousand, six hundred seventy-two".