83418272 has 96 divisors (see below), whose sum is σ = 199148544. Its totient is φ = 33638400.

The previous prime is 83418259. The next prime is 83418287. The reversal of 83418272 is 27281438.

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 15 ways as a sum of consecutive naturals, for example, 284558 + ... + 284850.

It is an arithmetic number, because the mean of its divisors is an integer number (2074464).

Almost surely, 2^83418272 is an apocalyptic number.

83418272 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83418272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99574272).

83418272 is an abundant number, since it is smaller than the sum of its proper divisors (115730272).

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

83418272 is a wasteful number, since it uses less digits than its factorization.

83418272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 83418272 is about 9133.3603892543. The cubic root of 83418272 is about 436.9385834964.

The spelling of 83418272 in words is "eighty-three million, four hundred eighteen thousand, two hundred seventy-two".