82203072 has 112 divisors (see below), whose sum is σ = 256714752. Its totient is φ = 22717440.

The previous prime is 82203061. The next prime is 82203083. The reversal of 82203072 is 27030228.

It is an interprime number because it is at equal distance from previous prime (82203061) and next prime (82203083).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 40678 + ... + 42650.

It is an arithmetic number, because the mean of its divisors is an integer number (2292096).

Almost surely, 2^82203072 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 82203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128357376).

82203072 is an abundant number, since it is smaller than the sum of its proper divisors (174511680).

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

82203072 is a wasteful number, since it uses less digits than its factorization.

82203072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 82203072 is about 9066.5909800762. The cubic root of 82203072 is about 434.8064881122.

The spelling of 82203072 in words is "eighty-two million, two hundred three thousand, seventy-two".