83264272 has 120 divisors (see below), whose sum is σ = 205861824. Its totient is φ = 31928832.

The previous prime is 83264267. The next prime is 83264287. The reversal of 83264272 is 27246238.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003143 + ... + 1003225.

Almost surely, 2^83264272 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 83264272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102930912).

83264272 is an abundant number, since it is smaller than the sum of its proper divisors (122597552).

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

83264272 is a wasteful number, since it uses less digits than its factorization.

83264272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 83264272 is about 9124.9258627125. The cubic root of 83264272 is about 436.6695377573.

The spelling of 83264272 in words is "eighty-three million, two hundred sixty-four thousand, two hundred seventy-two".