82402272 has 72 divisors (see below), whose sum is σ = 243033336. Its totient is φ = 27464832.

The previous prime is 82402231. The next prime is 82402273. The reversal of 82402272 is 27220428.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82402273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2478 + ... + 13074.

It is an arithmetic number, because the mean of its divisors is an integer number (3375463).

Almost surely, 2^82402272 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 82402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121516668).

82402272 is an abundant number, since it is smaller than the sum of its proper divisors (160631064).

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

82402272 is a wasteful number, since it uses less digits than its factorization.

82402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10622 (or 10602 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 82402272 is about 9077.5697188179. The cubic root of 82402272 is about 435.1574222150.

The spelling of 82402272 in words is "eighty-two million, four hundred two thousand, two hundred seventy-two".