83068272 has 120 divisors (see below), whose sum is σ = 277315584. Its totient is φ = 22695552.

The previous prime is 83068231. The next prime is 83068289. The reversal of 83068272 is 27286038.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 21393 + ... + 24975.

Almost surely, 2^83068272 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 83068272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138657792).

83068272 is an abundant number, since it is smaller than the sum of its proper divisors (194247312).

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

83068272 is a wasteful number, since it uses less digits than its factorization.

83068272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83068272 is about 9114.1797217303. The cubic root of 83068272 is about 436.3266356884.

The spelling of 83068272 in words is "eighty-three million, sixty-eight thousand, two hundred seventy-two".